# CALC-LIMITS

4,220 results

### CALC-LIMITS

F(X)= x-2/(x^2-4) is continuous at x=1 and why as limits approach from 1+ and 1-

### AP Calc (Limits on Piecewise Functions)

I'm trying to find the left, right, and overall limits of this function without using a calculator. Any help/suggestions on how I'm supposed to do this would be very helpful! f(x){ sinx if x<pi/6 tanx if x=pi/6 a=pi/6 cosx if x>pi/6

### calculus (limits)

lim h>0 sqrt(1+h)-1/h not sure how to factor this; not allowed to use L'Hopital's Rule. (that isn't taught at my school until Calc II & I'm in Calc I).

### AP Calc (Limits on Piecewise Functions) #2

I need help trying to find the left, right, and overall limits for this piecewise function without using a calculator. f(x) = { sin(x/3) if x≤pi , (x√ 3)/(2pi)if x>pi} when a=pi

### Calc Limits

lim (1+x)^1/x. Give an exact answer. x->0 This reads: The limits as x approaches zero is (1 plus x) to the 1 divided by x. The log of each term is (1/x) ln (1 + x) = ln (1+x)/x Using L'Hopital's rule for the limit of f(x)/g(x), the limit if the log is lim f'/g' = lim [1/(1+...

### Calc- Limits

what is the limit of x as it approaches 1 when x/ln x?

### Calc 1

Derivative of 2sqrt(x) using limits

### Pre Calc.

Use limits to describe the behavior of the rational function near the indicated asymptote f(x)=3/x-4

### calc helppppp

use limits to find and verify all asymptotes in the graph y= sqr root (5+x^2)/(3-x)

### Limits calc 1

Lim X➡️-2. X+2/x^3+8 How do I factor out the bottom? The answer is 1/12 Would it be like this x+2/(x+2)(x-2)(x+2)??

### Calc.

For the function ƒ(x) = x^3 - 8x + 3, calculate where a = 5 and h = 2. Simplify before substitution (the simplifying is where I am having problems...not sure if my answer is right). Thanks. Using the limits equation.

### Calc 3

How do I integrate rcos2theta dr? and then I have to plug in the limits 1 and 2sin2theta for theta and plug what I get from that into a second integral. Help!

### AP Calc.

I'm working on Proofs for Limits. So my question is how the bloody hell do I do this. This is the equation I am working with: F(x)= (x^2-5x+8)(x-3)/(x-3) Use the limit properties to prove algebraically that limf(x)=2 as X approaches 3

### Limits calc 1

X^2 +6x+9/x^4-81 I put the answer as 1/36 it's not the answer?? It told me to use the identity x^4-a^4=(x+a)(x-a)(x^2+a^2) I used it, u still get the same answer....

### Calculus

We are doing limits in Calculus, but now we are doing trig limits too and i do not get how to do any of them. For example ones like this, how do you do them? sec (x-1) / (x sec x) x approaches 0 ((3 sin (x)) 1 - cos(x)) / (x^2) x approaches 0 (sin (2x)) / (sin (3x)) x ...

### calc

Let g and h be nonnegative functions with limits 1 and infinity, respectively, as x → a. What is the limit of the function below as x → a? If it cannot be determined, write the indeterminate form. (9 + g(x))^−h(x) I don't understand, please explain!

### u.s. history

How does the constitution limit the powers of government? A. The constitution limits the power of government by entitling citizens to a basic standard of living. B. The constitution limits the power of government by giving citizens the power to veto any bill they do not ...

### calculus (limits)

Use limits to explain why f(x)= (7-3X)/(X+9) has a vertical asymptote.

### Calc 1 limits

it is written as 1 in the numerator then in the denominator it is written as t√1+t this is then subtracted by 1/t lim is t----> 0 How would you factor this? Would it be by the conjugate?

### limit calc question

2 questions!!! 1. Limit X approaching A (X^1/3-a^1/3)/ x-a 2. LiMIT x approaching 0 (1/3+x – 1/3) /x On the first, would it help to write the denominator (x-a) as the difference of two cubes ((x^1/3 cubed - a^1/3 cubed) second. use LHopitals rule. Take the derivative of the ...

### Limits calc 1

(1/t√1+t - 1 /t) lim t➡️0 So far I factored out 1/t√1+t - 1/t x √1+t/√1+t I am having trouble going further

### AP Calc (Limits)

I'm trying to factor this equation in order to find its limit, but I'm not sure how to go about it. I can get the answer by graphing on a calculator but I need to do it without one. Function: F(x)=(x^2-36)/(sqrt(x^2-12x+36)) left, right, and overall lim as it approaches 6

### Statistics

Multiple Choice Which of the following statements is true about the 95% confidence interval of the average of a sample? A) 95 of 100 avgs of samples will be within the limits of the confidence interval. B) There is a 95% chance the avg of the population to be within the limits...

### Calc 121

How do you integrate using substitution: the integral from 1 to 3 of: ((3x^2)+(2))/((x^3)+(2x)) There is a trick to this one that grealy simplifies the integral. Let u = x^3 + 2x. Then du = (3x^2 + 2)dx The integral then bemoces just the integral of du/u, which is ln u = ln (x...

### Calculus please help!!! double integral

Combine the following two integrals into one by sketching the region, then switching the order of integration. (sketch the region) im gonna use the S for integral sign..because idk what else to use. SS6ycos(x^3-3x)dxdy+SS6ycos(x^3-3x) And the first integration limits for x are...

### Maths Calculus Derivatives & Limits

Using the definition of the derivative evaluate the following limits 1) Lim h---> 0 [ ( 8 + h )^1/3 - 2 ] / h 2) Lim x ---> pi/3 ( 2cosx - 1 ) / ( 3x - pi)

### double integrals

Combine the following two integrals into one by sketching the region, then switching the order of integration. (sketch the region) im gonna use the S for integral sign..lol SS6ycos(x^3-3x)dxdy+SS6ycos(x^3-3x) And the first integration limits for x are between -1 and y, for y ...

### Calculus

TWO examples of each of the following: two sided limits and theorem on limits (SUM, difference, product, quotient, nth root, ).

### Math

I'm in Calculus AP and we are learning about limits. I'm having trouble with finding limits algebraically. So here's a sample that you can use to help explain this to me. Find the limit of lim x (arrow to the right) 1 x-1/x(squared)-1. Please help!

### AP Calculus

Find each of the limits without a calculator. Use the limits as an aide to sketch the graph of f(x)= (x-2)/(|x|-2) for-10<_x<_10 and -6<_y<_6. Be sure to clearly indicate any asymptotes, holes or other important characteristics. lim x->∞ f(x)

### Math - Arithmetic question

I have a question about the limits to Arithmetic problems, on my homework I've noticed that so far all of the arithmetic sequences limits are infinite (-infinity or +infinity, I was just wondering if all the limits to Arithmetic problems are to an infinity since 99% of the ...

### Maths (limits)

how do i evaluated these limits: lim x --> 3 ((square root of x^2 +16)- 5)/(x^2 - 3x) lim x--> to infinity (2+ 100/x)

### Math (Stats)

What is the difference between class limits and class boundaries? A) Class limits are the numbers that separate classes without forming gaps between them. Class boundaries are the least and greatest numbers that can belong to the class. For integer data, the corresponding ...

### Calc

A metal cable has radius r and is covered by insulation, so that the distance from the center of the cable to the exterior of the insulation is R. The velocity v of an electrical impulse in the cable is v = -C(r/R)^2*ln(r/R) where c is a positive constant. Find the following ...

### Math Limits

(x^n-1)/((x-1) )=(x-α^1 )×(1-α^2 )×………..(x-α^((n-1)) ) How do we prove that n = the multiplication of the second term using limits and l'hopital's rule.

### Calculus

TWO examples of two sided limits and each theorem on limits.

### calc: avg value

Find the average value of the function "f(x) = x^2 sqrt(1+x^3)" on the interval [0,2]. and this is what i did.. please check for mistakes. thanks :D f(x) = x^2 sqrt(1+x^3), [0,2] f ave = (1/(b-a))*inegral of a to b for: f(x) dx f ave = (1/(2-0))*integral of 0 to 2 for: x^2 ...

### math

i need some serious help with limits in pre-calc. here are a few questions that i really do not understand. 1. Evaluate: lim (3x^3-2x^2+5) x--> -1 2. Evaluate: lim [ln(4x+1) x-->2 3. Evaluate: lim[cos(pi x/3)] x-->2 4. Evaluate: lim x^2+x-6/x^2-9 x--> -3 5. ...

### Calc 1 limits

Lim h-----> 0. (X+h)^3-x^3/h So I foiled out the numerator And I got X^3 +x^2h +2x^2h +2xh^2+h^2+h^3-x^3 So I canceled out x^3 and -x^3 Then I took out the h from the numerator to cancel out the h in the denominator and then I put in the zeros for h but I got the answer 3x^...

### Legal Environment of Bus

Ethics Question (Legal Environ of Bus)? Various industries have lobbied for legislative restrictions on tort liability. The nuclear power industry has long been protected by a statute that limits its upper-dollar liability in the event of a serious accident. Many companies in ...

### math (Calculus III)

In this example we should use the beta function. But I'm a bit lost, because I don't know how to change the limits of the integral to fit the one that is needed when using B-function. The problem goes like this: integrate cos^7(x) dx, limits of the integral are from 0 to pi.

### Absolute Value and Limits

solve for limits of 1+ and 1- for this function: (x^2 + abs (x-1) - 1)/ abs (x-1) i don't know how to simplify abs. value expression times polynomial. can someone please help.

### consumer math

amy miller's insurance policy has a $218.00 premium for 25/100 bodily injury limits and $25,000.00 property damage limits. the collision premium is $74.00. amy's driving-rating factor is 2.4. what is her annual premium?

### Calc 1 limits

The equation is x^2+6x+9/x^4-81 Limit is x➡️-3 I factored it out and I got 1/36 would that be right The numerator would factor out to be (x+3)(x+3) then the denominator would be (x+3)(x-3)(x+3)(x-3) this would cancel out the (x+3) which would leave 1/x^2+6x+9 the...

### stats

4. Data from the 2008 General Social Survey (GSS) sample show that the mean number of children per respondent was 1.94 with a standard deviation of 1.70. A total of 2,020 people answered this question. (a) Estimate the population mean number of children per adult using a 90% ...

### Calculus

Following 2 questions are from a book at a point where L’Hopital’s Rule, Squeeze Theorem etc. have not been discussed and limits (A) and (B) as given below are to be evaluated by simple methods like algebraic simplification etc. 1. Int. of (xlogx)dx from 0 to 1. Indefinite...

### Calculus

Following 2 questions are from a book at a point where L’Hopital’s Rule, Squeeze Theorem etc. have not been discussed and limits (A) and (B) as given below are to be evaluated by simple methods like algebraic simplification etc. 1. Int. of (xlogx)dx from 0 to 1. Indefinite...

### math help please!

Assuming that limits as x → ∞ have the properties for limits as x → c, use algebraic manipulations to evaluate lim x → ∞ for the function. a. f(x) = x − 2/2 + 6x^2 b. f(x) = x^2 + 6/x + 7 Please help! I do not know how to start with this ...

### calc 2

A spherical tank of radius a feet is buried in the ground. The top of the tank lies b feet below the surface of the ground.(δ=64lbs/ft^3)Find a definite integral whose value equals total work done in emptying the tank through a pipe whose opening is at ground level. I ...

### Statistics

Construct the appropriate control chart for the observations listed below, using 3 sigma limits. Product Number - Number of defects 1 - 3 2 - 3 3 - 6 4 - 5 5 - 3 6 - 5 7 - 2 8 - 2 9 - 3 10 - 4 11 - 6 a. Determine the upper and lower control limits. b. Discuss the chart you ...

### intro to computers

your boss is considering a BYOB program for your company. he asks you if there are any negatives to such a program. what do you tell him? a.it limits the freedom of the user to access the websites and applications.b.it introduces security and control problems. c. it requires ...

### into computers

Your boss is considering a BYOD program for your company. He asks you if there are any negatives to such a program. What do you tell him? A. It limits the freedom of the user to access websites and applications. B. It introduces security and control problems. C. It requires ...

### Calc. Limits

Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- infinity so lim x->0+ = + infinity? and lim x->0- = + infinity? lim x->1 (x^2 - 5x + 6)/(x^2 - 3x + 2) I get 2/0, so lim x-> 1+ = - infinity? and lim x->1- = + infinity? lim h->0 [(-7)/(2+h^2...

### Calculus 1

Write a function that has two infinite limits at two different x-values. Write a function where both one sided limits exist at some x value but the two sided limit do not. I don't understand how this would look, please help!

### History

What is the main reason some people believe there should not be any limits on presidential terms? A. There should be a monarch instead of a president. B. The people should decide how long a president can serve in a democracy.<<<<< C. Presidents get better with ...

### Studying for Calc

I have a quiz on derivatives coming up and I really want to do well, but i'm not sure how to go about studying calc. i have no trouble studying for other subjects, but i'm doing poorly in calc and i need to make some changes in my study habits. any suggestions? i usually work ...

### Introduction to computers

Your boss is considering a BYOD program for your company. He asks you if there are any negatives to such a program. What do you tell him? A. It limits the freedom of the user to access websites and applications. B. It introduces security and control problems. C. It requires ...

### MATHS

A CONE WAS CONSTRACTED FROM PLASTIC, HAVE A HEIGHT OF 20cm (PART C). THE LID IS MADE UP OF HEMISPHERE HAVE RADIUS 0F 5cm (PART A) AND PYRAMID HAVE VOLUME OF 81,667cm³. THE LID FITS EXACTLY OVER THE CONE. A) CALC. THE VOL. OF PART A. B) CALC. THE VOL. OF PART C. C) CALC. THE ...

### calc urgent

Note that f is continuous on (−∞, 6) and (6, ∞). For the function to be continuous on (−∞, ∞), we need to ensure that as x approaches 6, the left and right limits match. First we find the left limit. lim x→6− f(x) = lim x→6...

### Statistics

The height of a bluebird was measured in centimeters. If the ruler reads 10.599 centimeters, what is the lower real limit of the bluebird's height? I know the lower limits of 10 are 9.5 or 10.5 after we go further I don't understand how to get the rest of the real limits of a ...

### Calculus (Limits)

Let f be defined as follows, where a does not = 0, f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a 5, if x = a Which of the following are true about f? I. lim f(x) exists as x approaches a II. f(a) exists III. f(x) is continuous at x = a. A. None B. I, II, and III C. I ...

### Pre-Calc/Calc

Which set of parametric equations corresponds to this rectangular equation? y=2x-(x^2 / 10) A. x=4t, y=4t-(t^2 /10) B. x=2t, y=8t-(4t^2/10) C. x=2t, y=4t-(4t^2/10) D. x=.5t, y=2t-(t^2/10) E. x=t, y=t-(t^2/10)

### Calc

Can someone help me with this calc problem? lim as x->0 (tan^3 (2x))/(x^3)

### help chem!:/

a) Calc. PH of 0.010 M HF and 0.030 M KF e) calc. PH Zn(OH)2 in wAter

### Pre Calc

Does this: sqrt 3x-4=(x-4)^2-3 Multiply out to: x^4-16x^3+90^2-211x+173 I then need to put it in the graphing calc and see what the roots are.

### Math

Find the greatest value of a,so that integrate [x*root{(a^2-x^2)/(a^2+x^2)} ] from 0-a<=(π-2) Let I =integrate{ [x*root{(a^2 - x^2)/(a^2+x^2)}]dx } from 0-a I used the substitution u=root[x^2+a^] to simplify the further. After substituting and changing limits I got, I=...

### astronomy

The parallax of the red giant Betelguese is just barely measurable and has a value of about 0.005 arc seconds. What is its distance? Suppose the measurement is in error by + or -0.003 arc seconds. What limits can you set on its distance? 1/0.005 = 200 parsecs. Convert that to ...

### calc

i need to sketch a graph that satisfies all of these conditions: - it is defined for all #s except 0 - f(1) = 0 f(2)=2 f(3)=1 - f'(2)=0 f''(3)=0 - f''(x)<0 when x<0 and when 0<x<3 - f''(x)>0 when x>3 - lim x->0 = -inf - lim x->inf = 0 - lim x->-inf...

### Social studies

How have the Piedmont region's physical features influenced its local economy? my answer A. In places, it has rocky soil that is better for manufacturing than farming.*** B. The hilly land makes it difficult to transport goods, which limits economic activity. C. The lack of ...

### statistics

if i have k = 36.86 +/- 4.78 and v = 113 +/- 9.92 both using 95% confidence limits and no true values of k or v given am i right in saying that accuracy cannot be determined and that v is a more precise measurement my question was to comment on what can be said about the ...

### statistics

if i have k = 36.86 +/- 4.78 and v = 113 +/- 9.92 both using 95% confidence limits and no true values of k or v given am i right in saying that accuracy cannot be determined and that v is a more precise measurement my question was to comment on what can be said about the ...

### Geography

How does geography affect economic activity in South Asia? A. Being surrounded by the Arabian Sea and Indian Ocean limits trade in India. B. The Himalayas protect crops of Indian farmers from heavy rains and extreme weather. C. The diversity of climates in India means farmers ...

### Calc or Pre calc

I am having trouble doing this problem. I know how to do indefinate integrals, but I don't know how to do definate integrals. Can you show me how to do this. Evaluate 5 (x^3-2x)dx 2

### calc

i need to find the definite integral from 0 to 2|b| of .... x divided by sqrt(x^2 + b^2) dx im having a lot of trouble, thanks in advance Let u = x^2 + b^2 du = 2x dx The integrand becomes (1/2) u^(-1/2) du and the integral of this is u^(1/2) = sqrt(x^2 + b^2) Evaluate this ...

### Math

If (a,-3) is a point on the graph of y=x^2+4x, what is the value of a? so far i have -3=x^2+4x i can do the problem on my graphing calc but we can't use a graphing calc on the test so i need to know how to do it by hand. what do i do next?

### maths

if i have k = 36.86 +/- 4.78 and v = 113 +/- 9.92 both using 95% confidence limits and no true values of k or v given am i right in saying that accuracy cannot be determined and that v is a more precise measurement my question was to comment on what can be said about the ...

### Pre-Calc

I'm stuck on a pre-calc problem. I need to find y as a function of x, where the constant c is a positive number for In(y-1)+In(y+1)= -x+c express your question as ln[(y-1)(y+1)] = -x+c change that to exponential form e^(-x+c) = (y-1)(y+1) e^(-x+c) = y^2 - 1 y^2 = e^(-x+c) + 1 ...

### calc check: average value

Find the average value of the function "f(x) = x^2 sqrt(1+x^3)" on the interval [0,2]. and this is what i did.. please check for mistakes. thanks :D f(x) = x^2 sqrt(1+x^3), [0,2] f ave = (1/(b-a))*inegral of a to b for: f(x) dx f ave = (1/(2-0))*integral of 0 to 2 for: x^2 ...

### calc 2

Consider the 4 leaf rose and a circle having polar equations: r=10cos(2Θ) and r=5 with 0≤Θ≤2π, respectively. Find the area of the region that lies inside the rose and outside the circle. hint: find the smallest positive value of Θ for which the ...

### Pre-Calc

Can you show me how to find the rectangular equation of r=2costheta + 3 sin theta All I need is an example to work off I was absent today from Pre-Calc and I have homework to do and no explanation with them-Please help with this one Thank you

### calc - limits

I have been trying to figure out these limit problems and I get stuck on trying to move the function around to make it possible to solve. The first one is: lim sinx - cosx / tanx - 1 x--> (pi/4) All I've gotten so far is to replace tanx with sinx/cosx but I don't even know ...

### stats

3. The mean family income in Arizona is about $64,750 with a standard deviation (for the population) of $59,750. Imagine that you are taking a sample of 200 randomly selected state residents. (a) What is the probability that your sample mean is between $61,000 and $64,750? (b...

### Calculus II: Finding the volume of a revolution

Question: Find the volume of revolution bounded by y-axis, y=cos(x), and y=sin(x) about the horizontal axis. Since the rotation is happening at the horizontal axis, I thought the limits of integration would be [-1,1] and if the curves are rotated they would over lap so i used ...

### Statistics

Can you please help with this question. The only thing that I have come up thus far is that I am using the z critical value because I am estimating a population proportion. Am I on the right track? An important issue facing Americans is the large number of medical malpractice ...

### Calculus/College Algebra

I'm so lost. We're working on limits for this assignment and I get that, but my difficulty lies in breaking down the original problem. The problem is: Find the limit: lim (x->5) The numerator is (the square root of 9-x) -2 and the denominator is x-(the square root of x+20...

### math

Hi, How do I improve my math skills? I can't calculate in my head (I.e 2x43), I would actually have to write it down to solve it. I took pre-calc, calc and didn't have problem understanding. I don't know what is wrong. what should I do?

### statistics

in certain manufacturing processes parts must be machined tonwithin specified tolerences. the parts must have a mean length of of six inches plus or minus 0.26 inches .A SAMPLING PROCEDURE HAS BEEN ESTABLISHED to determine wether the ten parts are within the specified ...

### C code

Write a .c file named calc that: - Takes arguments from the command line - Solves a simple math problem - Returns the result as an exit status calc.c: //this is the function that gets called when the executable is run. int main(int argc, char * argv[]){ //I've given you the ...

### Business law

The Supreme Court threw out a $79.5 million punitive-damages award against cigarette maker Philip Morris. The high court voted 5-4 to overturn the jury verdict in the Oregon case, ruling it violated earlier high court decisions on limits to punitive damages. The decision could...

### Calculus

Posted by CMM on Wednesday, October 13, 2010 at 12:50am. Calculate the following: a) Find g(f(1)) b) Find lim x-> 1+ g(f(x)) c) Find f(g(0)) d) Find lim x->0- f(g(x)) f(x)= 1-x, x<1 1, x=1 x-1, x>1 g(x)= -x, x<0 2, x=0 x+2, x>0 This is where it gets hard. I ...

### calculus

f(x)=−x3 −x2 +16x+16 1. Calculate f′(x). 2. Calculate f′′(x). 3. Find the x values such that f(x) = 0. Note: this can be done by factoring. 4. Find the stationary point/s. Note: a point requires x and y coordinates. 5. Determine the nature of this/these point/s. 6. ...

### Physics

1, A Body Of Mass 6kg Was Acted Upon By A Constant Force Of 18N. Calc Its Velocity In 5sec. 2. A Car Moving At 108km/hr Was Gradually Brought To Rest By Constant Force Of 2500N After 8sec. Calc The Decelleratio

### Statistical Quality Control /UCL's & LCL's

PLEASE HELP me solve the following problem: A computer diskette manufacturer is concerned that some diskettes have bad sectors that would cause a diskette to hold less information that it was intended to hold. In the past, only 5% of these diskettes have had bad sectors. If ...

### Calculus

1. Use a graph to estimate the limit. Use radians unless degrees are indicated by θ°. (Round your answer to four decimal places.) lim θ → 0 θ/tan(7θ) 2. Assuming that limits as x → ∞ have the properties for limits as x → c, use ...

### physics -damon help

An ac source of 50v,100÷πHz is connected in series with an inductor of inductance L ad a resistor of resistance R.the current in the circuit is 2A ad p.d. across L and R are 30v ad 40v respectively 1) calc d average power dissipated 2) calc d power factor in the circuit

### writing

How do performance-enhancing drugs deprive non-users of thier victories? This question seems pretty straight forward. Athletics is about pushing the body to its limits to take on other athletes, nature, or some other physical obstacle. Genetics plays a part in this competition...

### programming

where are the errors the pseudocode debugging exercise // This application reads student typing test data // including number of errors on the test, and the number // of words typed per minute. Grades are assigned based // on the following table: // Errors // Speed 0 1 2 or ...

### Limits

Lim (tan^2(x)/x) x->0

### LIMITS

lim [cotx - (1/x)] x-->0