Limits and Derivatives

Welcome to the "Limits and Derivatives" category of Questions LLC, your go-to platform for all your queries related to calculus! Whether you are a student brushing up on your mathematical skills or just curious about the fascinating concepts of limits and derivatives, you've come to the right place. Our expert community of mathematicians and enthusiasts is here to provide comprehensive and reliable answers to all your questions. From understanding the fundamental principles of limits to exploring the intricacies of derivative rules, dive into this category and embark on a journey of mastering these essential concepts in calculus. Let's unravel the mysteries of limits and derivatives together!

Questions (24)

Please check my answers! My teacher never gave us the answer sheet so I have no idea what to study TT(also please give the
1. 4 answers
2. asked by Alice
3. 2,764 views
Let f be a function such that lim as h approaches 0 f(2+h)-f(2)/h=0 Which of the following must be true1. f is continuous at x=2
1. 4 answers
2. asked by M
3. 3,965 views
Let f be a function defined for all real numbers. Which of the following statements must be true about f? Which might be true?
1. 3 answers
2. asked by Anonymous
3. 2,302 views
at a single ticket booth, customers arrive randomly at a rate of x per hour.the average line length is given by F(x)=
1. 4 answers
2. asked by wally
3. 564 views
lim as x approaches 0(1-Cos^2(3x))/x^2 How do I derive the numerator??
1. 5 answers
2. asked by Anonymous
3. 1,098 views
How do I use the Limit definition of derivative onf(x)= x cos x
1. 1 answer
2. asked by anna
3. 334 views
Consider the following function.f(x) = x^6 ln x (a) Use l'Hospital's Rule to determine the limit as x → 0+. (b) Use calculus
1. 3 answers
2. asked by TayB
3. 1,838 views
is this accurate?''me returning to my lim x--> c f(x)/g(x) to see that it has now been reduced to x --> c f('x)/g'(x)''
1. 2 answers
2. asked by Anonymous
3. 14 views
I need help with these problems, I cannot find a similar example to help me in the book:1. Find lim x->infinity (e^(-2x) + sin
1. 2 answers
2. asked by Amber
3. 563 views
Please help me with this WS1) Find the value of lim as x-->-(square root of 3) of (-x^4 + 5x^2 -6)/(x+(square root of 3) 2) Find
1. 2 answers
2. asked by Annie
3. 583 views
I've tried to simplify this a million different ways, but I can't seem to get the right answer. Please help.((1/(x+h)^3)-(1/x^3)
1. 1 answer
2. asked by rocky
3. 264 views
Let f(x)=4−x^2. Find each of the following:(f(2+h)- f(2))/h = ________ lim h->0 (f(2+h)- f(2))/h = ______
1. 1 answer
2. asked by Cecille
3. 322 views
Find f(a) where a is in the domain of f.f(x) = -1/x^2 I got a few steps into it and failed :( The equation she gave me to plug
1. 3 answers
2. asked by Chris
3. 345 views
Let f be the function given by f(t) = 2ðt + sin(2ðt)a) Find the value of t in the open interval (0,20 for which the line
1. 5 answers
2. asked by Aaron
3. 2,037 views
F.(0) (10 puntos posibles)C1 What is limh→0cos(π6+h)−cos(π6)h? (Enter the answer as a decimal. If the limit does not
1. 2 answers
2. asked by JuanPro
3. 787 views
QA: as x goes to infinity,i) describe how 1-exp(-x) behaves ii) describe how its derivative behaves iii) describe how ln(x)
1. 2 answers
2. asked by Naomi O
3. 621 views
limit as h approaches 0cubed root of 8+h -2 divided by h the cubed root sign is under 8+h and not -2 A. 1/12 B.1/4 C.root 2 over
1. 3 answers
2. asked by Anonymous
3. 577 views
How do I solve for lim h->0 (((a+h)^2 + 1)/(3(a+h)+7) - ((a^2 + 1)/3a + 7)) and then all divided by h?The question was use the
1. 2 answers
2. asked by Blake
3. 581 views
The limit as x approaches 0 of ((4^x)-1)/xThe limit above represents the derivative of some function f(x) at some number a. Find
1. 3 answers
2. asked by Logan
3. 551 views
Givenƒ(x) = e^x, verify thatlim (e^x+h-e^h) / h = e^x h->O = and explain how this illustrates that ƒ′(x) = ln e • ƒ(x) =
1. 3 answers
2. asked by Vanessa
3. 512 views
thanks for the explanation of limit, but i want someone to help check out this problem for melim x->3 (x^2 - x - 12)/ (x - 3) i
1. 1 answer
2. asked by glen
3. 490 views
please solve it let f be the function defined over { 0 , ∞ ) as ∫ f(x) = x(ln(x)-1)^2 for x>0 and let (c) be its
1. 1 answer
2. asked by Darker
3. 461 views
derivative of lim x->infinite (2^x+5^x)^(1/x)?I do it till [2^xln(2)+5^xln(5)]/(2^x+5^x) and then I can't simplify anymore. Help
1. 3 answers
2. asked by Bob
3. 463 views
1)lim [(x+y)sec(x+y)-xsecx]/ yx-o 2)show that lim |x-4|/x-4 does not exists x-4 3)lim [1-sinx/2]/[cosx/2{(cosx/4)- x-22/7
1. 1 answer
2. asked by sushma
3. 440 views