# If A=1+r^a+r^2a+r^3a+.......................to infinity B=1+r^b+r^2b+................to infinity then find a/b=????? Is r^2a supposed to be r^(2a) or a*r^2? In other words, is the a part of the exponent? what the heck is that? exponents are like 2 cubed or 2 squared. 2

99,801 results
1. ## Math

Which describes the end behavior of the graph of the function f(x)=-2x^3-5x^2+x? a. f(x) approaches infinity as x approaches negative infinity and f(x) approaches infinity as x approaches infinity b. f(x) approaches negative infinity as x approaches

2. ## Help me check my calculus answers

1. Which of the following functions grows the fastest as x goes to infinity? - 2^x - 3^x - e^x inf f(x)/g(x) = 5 show? - g(x) grows faster than f(x) as x goes to infinity. - f(x) and g(x) grow at the same rate as x goes to infinity.

1. Which of the following functions grows the fastest as x goes to infinity? - 2^x - 3^x - e^x (my answer) - x^20 2. Compare the rates of growth of f(x) = x + sinx and g(x) = x as x approaches infinity. - f(x) grows faster than g(x) as x goes to infinity.

4. ## math;)

1. At which values of x does the graph of f(x)=cos x intersect the x-axis? Select all that apply. (2 answers) a. 0*** b. pi/2*** c. pi d. 3pi/2 e. 2pi 2. Which of the following represents the domain and range of y=tan x? a. domain: -infinity

5. ## algebra 2

what is the domain in interval notation when the restrictions are x cannot = 2 and x cannot = -2? I got (-infinity, 2) U (2,-infinity) (-infinity, -2) U (-2, infinity) but my math teacher marked this as wrong

6. ## calculus A

A particle moves according to a law of motion s = f(t) = t3 - 12t2 + 21t, t 0, where t is measured in seconds and s in feet. v(t) = 3t^2 - 24t 21 a(t) = 6t - 24 e) Find the total distance traveled during the first 8 s. i) When is the particle speeding up?

7. ## Precalc

Find an equation of a rational function that satisfies the given conditions. Vertical asymptote: x = 4 Horizontal asymptote: y = 0 X-intercepts: none Y-intercepts (0, -1/4) Multiplicity of 1 Removable discontinuity: x = 1 End behavior: x --> infinity, f(x)

8. ## Please check my Caclulus

1. Find all intervals on which the graph of y=(x^2+1)/x^2 is concave upward. A. (negative infinity, infinity) B. (negative infinity, -1) U (1, infinity) C. (negative infinity, 0) U (0, infinity) D. (1, infinity) E. none of these I got C. I found the second

9. ## math

If f(x)=x-7 and g(x)=sqrt(4-x), what is the domain of the function f/g? a. (-infinity, 4) b. (-infinity, 4] c. (4, infinity) d. [4, infinity) e. (4, 7) U (7, infinity)

10. ## Calculus Limits

Question: If lim(f(x)/x)=-5 as x approaches 0, then lim(x^2(f(-1/x^2))) as x approaches infinity is equal to (a) 5 (b) -5 (c) -infinity (d) 1/5 (e) none of these The answer key says (a) 5. So this is what I know: Since lim(f(x)/x)=-5 as x approaches 0,

11. ## calculus

lim t-> -infinity for sqrt(4t^2-5t-1)/(2t-3) I get infinity or -infinity, but the real answer is -1. How does this occur?

12. ## Calculus

F(x)=(2x-1)/ (|x| -3) Rewrite f(x) as a piecewise function. Then find the limit as it approaches positive infinity and negative infinity.

13. ## calculus

If f has domain [0, infinity) and has no horizontal asymptotes, then lim_(x->infinity) f(x) = infinity or lim_(x->infinity) f(x) = -infinity. Can someone please clarify whether this statement is true or false? Thank you

14. ## Calculus

Sketch the graph of the function that has the following properties. f is continuous on (-infinity, infinity). points: (-1,2), (0, 0), (-1,0) f'(x)>0 at (-infinity, -1) f'(-1)=0 f'(x)0 on (1, infinity) f"(x)0 on (0, infinity) I'm having trouble graphing

15. ## calculus - ratio test

Posted by COFFEE on Sunday, July 29, 2007 at 6:32pm. infinity of the summation n=1: (e^n)/(n!) [using the ratio test] my work so far: = lim (n->infinity) | [(e^n+1)/((n+1)!)] / [(e^n)/(n!)] | = lim (n->infinity) | [(e^n+1)/((n+1)!)] * [(n!)/(e^n)] | = lim

16. ## Please check my Calculus

1. Find all critical values for f(x)=(9-x^2)^⅗ A. 0 B. 3 C. -3,3 D. -3, 0, 3 E. none of these I got D. I found the derivative and solved for critical numbers. 2. Find all intervals on which the graph of f(x)=(x-1)/(x+3) is concave upward A. (negative

17. ## Math

Identify the end behavior f(x)=(x-4)^2 As x ---> positive infinity, f(x) --> ____ infinity and as x --->, f(x) ---> ____ infinity Fill in blank

18. ## Calculus

Which of the following series could be tested for convergence/divergence with the integral test? the summation from n=1 to infinity of 1/n! the summation from n=1 to infinity of 1/n the summation from n=2 to infinity of ln(n)/n^2 a) I only b) II only c) II

19. ## Please check my Calculus

1. Find all points of inflection of the function f(x)=x^4-6x^3 A. (0, 0) B. (0, 0), (9/2, -2187/16) C. (3, -81) D. (0, 0), 3, -81) E. none of these I got D. I found the second derivative and solved for x and plugged values into original function to get

20. ## Math

Find the domain of the function. Write your answer in interval notation. (If you need to enter ∞ or -∞, type INFINITY or -INFINITY.) h(u,v) = sqrt(4-u^2-v^2) u^2+v^2 = ?

21. ## Calculus

Find the horizontal asymptote of f(x)=e^x - x lim x->infinity (e^x)-x= infinity when it's going towards infinity, shouldn't it equal to negative infinity, since 0-infinity = - infinity lim x-> -infinity (e^x)-x= infinity

22. ## Math

What is the domain of f/g, given f(x)= x+2 and g(x)= x-7? I was told this below, all real numbers EXCEPT 7 But My choices are this, (-infinity,7) U (7,infinity) (-infinity,-7) U (-7,infinity) (-infinity,-2) U (-2,7)U (7,infinity) (-infinity,infinity)

23. ## Math

f(x)=root sign, and inside that x-2 and g(x)x-7. Which of the following is the domain of the quotient function? A. (-infinity,2] B. (-infinity,7) U (7,infinity) C. [2,7) U (7,infinity) D. (2, infinity)

24. ## Algebra

Solve x(x-7)(x-9)

25. ## Algebra

Given f(x)=rootsignx-2 and g(x) = x-7 what is the domain of the quotient function? A. (-infinity,2] B. )-infinity,7 U (7, infinity) C. [2,7) U (7, infinity) D. (2,infinity) Responses

26. ## math

I'm working on solving and graphing inequalities. My problem is 1 < 6n + 3n I solve to get 1/9 < n When I graph and show my set, is it (1/9, infinity) or is it (0, infinity)? I thought it would be (1/9, infinity), but my teacher showed (0, infinity). On

27. ## 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

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

29. ## Math

Limit = x-->infinity 11x^5+4x^3-6x+2/6x^3+5x^2+3x-1 My work: After doing lots of work I got 11/x^2 +4 -6/x^2 +2/x^3 All over 6+5/x+3/x^2-1/x^3 So then I get 4/6 but the correct answer is supposed to be infinity.. I'm very confused

30. ## calculus

what is the answer for the integral of (1/(xln(x)) from 1 to infinity? I first found the integral using u substitution- so u=ln(x) and du=1/x*dx this gave my du/u,leading to the ln(u) =ln(ln(x)) from 1 to infinity then I did the limit as t approaches

31. ## Algebra I

I'm stuck on this problem please help me find the range of this equation y = (x^2 - 4)/(x^2 - x - 12) I know that it is [1/3,-infintiy]U[?,infinity] yes I'm having trouble with that ? At first I was like ok there should be a horizontal asymptote at y=1

32. ## Math

Richard shot a homemade rocket from a field behind is house. The height of the rocket, in feet, t seconds after it left the ground is shown in the function below. r(t) = -30t + 390t What is the domain of the height function? A. (-infinity sign, infinity

33. ## Algebra

Find the domain of the function. Write in interval notation. sqrt(x^2 − 64). For the answer, I got (-infinity, -8)u(8, infinity), but that's wrong, and I'm not sure what else to try?

34. ## MATH

I have been trying to do this problem for a couple of days but i cant seem to get the answer. Any help would be greatly appreciated. For each of the following forms determine whether the following limit type is indeterminate, always has a fixed finite

35. ## Math

Which statement correctly describes the end behavior of f(x) = -9x^4 + 3x^3 + 3x^2 - 1? As x goes to infinity, f(x) goes to infinity, and as x goes to negative infinity, f(x) goes to infinity. As x goes to infinity, f(x) goes to negative infinity, and as x

36. ## Algebra

f(x)=root sign, and inside that x-2 and g(x)x-7. Which of the following is the domain of the quotient function? A. (-infinity,2] B. (-infinity,7) U (7,infinity) C. [2,7) U (7,infinity) D. (2, infinity)

37. ## Algebra

Given f(x)=rootsignx-2 and g(x) = x-7 what is the domain of the quotient function? A. (-infinity,2] B. )-infinity,7 U (7, infinity) C. [2,7) U (7, infinity) D. (2,infinity)

38. ## Algebra

Given f(x)=rootsignx-2 and g(x) = x-7 what is the domain of the quotient function? A. (-infinity,2] B. )-infinity,7 U (7, infinity) C. [2,7) U (7, infinity) D. (2,infinity)

Please tell me if this are right. Thank you! Find the exact location of all the relative and absolute extrema? h(t) = t^3 - 3t^2 domain: [-1, + infinity) For this one I got x=2 as the minimum, and x=0 as the maximum. g(t) = 3t^4 - 16t^3 + 24t^2 +1 domain:

40. ## Algebra

I know what the answer is just not how to exopress it. Can someone help me please? State the domain of the function: f(x)(2+x)/(3-x) Now I know the domain is (-infinity,3) U (3, infinity)? (-infinity,3] U [3, infinity) ? How do I express it? do I use ]

41. ## Algebra

I know what the answer is just not how to exopress it. Can someone help me please? State the domain of the function: f(x)(2+x)/(3-x) Now I know the domain is (-infinity,3) U (3, infinity)? (-infinity,3] U [3, infinity) ? How do I express it? do I use ]

42. ## Algebra

What is the answer? I came up with C. is this correct? Thanks for the help in advance! f(x)=root sign, and inside that x-2 and g(x)x-7. Which of the following is the domain of the quotient function f/g? A. (-infinity,2] B. (-infinity,7) U (7,infinity) C.

43. ## Calculus 3

Determine whether the lines intersect(have a common point) and if so, find the coordinates of that point? r(t) = < 4t+3, 4t + 2, 6t + 6>, for -infinity < t < infinity R(s) = < s + 2, 3s - 1, -4s + 10>, for -infinity < t < infinity And if r and R describe

44. ## Calculus

How do I find the radius of convergence of a series where n=1 to infinity of (14^(n)x^(n)n!)? I have tried using the ratio test but I eventually get to this step: lim as n approaches infinity of absolute value of (14x(n+1)), which equal infinity. How am I

45. ## Algebra

Solve |9 – 4x| > 7 and write interval notation for the solution set. A.(1/2, 4) B. (-4,-1/2) C. (1/2, infinity) D. (-infinity U (4, infinity) I say the answer is D..Am i correct?

46. ## Math

Let f:[0,infinity) -> R be a differentiable function such that f'(x) >= f(x) > 0 for all x in [0,infinity). Construct a proof to show that f'(x) >= f(x) for all x in [0,infinity).

47. ## Algebra

please check my answers. thanxs! Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation. x^2 - 6x + 5 > 0 -I got (-ininity,1) u (5, infinity) x^2 - 3x - 18 < 0 -I got (-infinity,-3) u (6,

48. ## math

if the inequality is: (x+5/x-2)>0 . "x-5 over x-2 greater or equal to 0". What would be the solution? a.(-infinity sign, -5] U (2, infinity sign) b.(-5,2) c.(-infinity sign, -5) U [2, infinity sign) d.[-5,2] My answer was C. Am I correct?

49. ## math

What is the domain of the function f(x)=11/Squareroot of 4-x^2 a.(-11,11) b.[-11,11] c. (-2,2) d. [-2,2] What is the range of the function? y=8/Squareroot of 4-x^2 a. [4, infinity) b. (-infinity, 4] c. [8, infinity) d. (-infinity, 12] e. [6, infinity) f.

50. ## Math

Find the limit if it exists. lim 1/(x-2) = infinity x→2+ lim 1/(x-2) = negative infinity x→2- lim 1/(x-2) = Does not exist x→2 lim (3x+2) = infinity x→∞ lim 999/(x^3) = 0 x→-∞ Can someone check to make sure that I am correct?

51. ## Algebra

Can you please check my answers? Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. x-2/x+1 or equal to 0 my answer: (3,8] 2/x-2

52. ## Math

A particle P starts at the origin (x0,y0)=(0,0), of the plane. The particle moves in steps as follows. 1. P moves 1 unit to the right to the point (x1,y1)=(1,0), then 2. P moves 1/2 unit up to (x2,y2)=(1,1/2), then 3. P moves 1/4 unit to the left to

53. ## Algebra

Given f(x)=rootsignx-2 and g(x) = x-7 what is the domain of the quotient function? A. (-infinity,2] B. )-infinity,7 U (7, infinity) C. [2,7) U (7, infinity) D. (2,infinity)

54. ## calculus - interval of convergence

infinity of the summation n=0: ((n+2)/(10^n))*((x-5)^n) .. my work so far. i used the ratio test = lim (n-->infinity) | [((n+3)/(10^(n+1)))*((x-5)^(n+1))] / [((n+2)/(10^n))*((x-5)^n)] | .. now my question is: was it ok for me to add "+1" to "n+2" to become

55. ## BC Calculus

lim x ->infinity (e^x/lnx) I got infinity/0 but is that allowed to be my answer? what about this one: limx->infinity (sqrt of x /e^x) i got 0/infinity for this.

56. ## Math

I am supposed to figure out what this rational function is by using these clues and I am a little confused. Can someone please explain how I do this? asymptotes: horizontal~none vertical~x=-4 slant~y=x+1 end behavior~ f(x) approaches infinity as x

57. ## calculus - interval of convergence

infinity of the summation n=0: ((n+2)/(10^n))*((x-5)^n) .. my work so far. i used the ratio test = lim (n-->infinity) | [((n+3)/(10^(n+1)))*((x-5)^(n+1))] / [((n+2)/(10^n))*((x-5)^n)] | .. now my question is: was it ok for me to add "+1" to "n+2" to become

58. ## Math

1. If -1/infinity = infinity or -infinity ? 2. If lim x->infinity^- = infinity & lim x->inifinity^+ = -infinity, then lim x->infinity = does not exist. Am i right? If im wrong please tell me the reason why?

59. ## Math

1. If -1/infinity = infinity or -infinity ? 2. If lim x->infinity^- = infinity & lim x->inifinity^+ = -infinity, then lim x->infinity = does not exist. Am i right? If im wrong please tell me the reason why?

60. ## Calculus

find the intervals where the function is increasing and the intervals where it is decreasing f(x)= (x^3/3)-(x^2/2) ok i found its derivative which is (f1(x)=(x-1)x my options are increasing a) (0,infinity) b) (-1,0) c(-infinity,0)U(1,infinity) decreasing

61. ## Calculus - ratio test

infinity of the summation n=1: (e^n)/(n!) [using the ratio test] my work so far: = lim (n->infinity) | [(e^n+1)/((n+1)!)] / [(e^n)/(n!)] | = lim (n->infinity) | [(e^n+1)/((n+1)!)] * [(n!)/(e^n)] | = lim (n->infinity) | ((e^n)(e^1)(n!)) / ((n+1)(n!)(e^n)) |

62. ## calc

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

63. ## Calculus

Determine convergence or divergence for the following series. State the tests used and justify your answers. Sum (infinity, n=1) 1/(1+e^-n) Sum (infinity, n=1) (2*4*6...2n)/n! Sum (infinity, n=0) (n-6)/n Sum (infinity, n=0) (n-6)/n! Sum (infinity, n=0)

64. ## Math

Consider the equation below. (Round the answers to three decimal places. If you need to use -infinity or infinity, enter -INFINITY or INFINITY.) f(x) = 9 sqrt(xe*^(-x) (a) Find the interval on which f is increasing. ( , ) Find the interval on which f is

65. ## Algebra

Given f(x) = ãx - 2 and , which of the following is the domain of the quotient function ? a.(-infinity,2] b.(-infinity,7) U (7,infinity) c.[2,7) U (7, infinity) d.(2, infinity)

66. ## ALGEBRA

Solve the inequality. (Enter INFINITY for infinity and -INFINITY for -infinity as needed.) 3

67. ## ALGEBRA

Solve the inequality. (Enter INFINITY for infinity and -INFINITY for -infinity as needed.) 9-x>=4 x + 34

68. ## ALGEBRA

Solve the inequality. (Enter INFINITY for infinity and -INFINITY for -infinity as needed.) 6

69. ## Calculus

I've been trying to solve the improper integral of ln(x)/sqrt(x) dx as a=1 and b=infinity I am required to solve for this question and according to my answer, it is divergent. However, my answer is infinity-4. Is it acceptable to say that infinity minus a

70. ## Math-intergration

Show that integrate.[e^(-4x)*(cos 3x)] from 0-infinity =4/25 I got the answer(without applying limits) as, {(e^(-4x) )[3sin(3x) - 4cos(3x)]}/25 But when applying the upper limit what is the value of, {(e^(-infinity) )[3sin(3*infinity) -4cos(3*infinity) ]

71. ## Algebra

Convert these solutions into an inequality A)[3, infinity) b)(-infinity, -2] U (3,18) C)(-infinity, 5] U (8, infinity)

72. ## pre algebra

what is the domain of the function below? f(x)= -x^2 + 11 thank you choices are: 1. (- infinity, 11) 2. (-infinity, infinity) 3.(-11, 11) 4. (11, infinity)

73. ## calculus

We were asked to solve the problem 1/x < 4. I solved it like so: 1

74. ## calculus

State which of the conditions are applicable to the graph of y = f(x). (Select all that apply.) lim x→infinity f(x) = −infinity lim x→a+ f(x) = L lim x→infinity f(x) = L f is continuous on [0, a] lim x→infinity f(x) = 0 f(a) is not defined lim

75. ## Inequality

please check my answers. thanxs! Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation. x^2 - 6x + 5 > 0 -I got (-ininity,1) u (5, infinity) x^2 - 3x - 18 < 0 -I got (-infinity,-3) u (6,

76. ## Pre-cal

Please determine the following limits if they exist. If the limit does not exist put DNE. lim 2+6x-3x^2 / (2x+1)^2 x-> - infinity lim 4n-3 / 3n^2+2 n-> infinity I did lim 2+6x-3x^2 / (2x+1)^2 x-> - infinity (2+6x-3x²)/(4x²+4x+1) (2/x² + 6/x -3)/(4 + 4/x

77. ## Math

a) Find the zeros of the function. d) Find the domain. e) Find the range. a) none d) (-infinity, ﻿0﻿) ﻿U﻿﻿﻿ (2,infinity) e) (0,﻿ infinity) Is this right?

78. ## college algebra

now i understand both intersection and union but not with an infinity. how do i figure this out (-infinity,4)n(0,infinity)

79. ## Please check my Calculus

1. Find the value(s) of c guaranteed by Rolle’s Theorem for f(x)=x^2+3x on [0, 2] A. c=-3/2 B. c=0, 3 C. Rolle’s Theorem doesn’t apply as f is not continuous on [0, 2] D. Rolle’s Theorem doesn’t apply as f(0) does not equal f(2) E. None of these

80. ## Calculus

I am maybe overthinking this, but what is the lim as n-> infinity of |(n+1)/(n+2)| ? I am trying to use the ratio test to find interval of convergence for the infiinite series (n/n+1)((-2x)^(n-1)) so i did the limit of |(n+1)/(n+2)| but i am wondering if

81. ## Piecewise function

write a piece-wise function over 3 intervals whose domain is (-infinity, infinity) and whose range is (-infinity,-3) united (1,10). include an increasig, decreasing, and a constant function.

82. ## Calculus

For f(x)=(3x^2-5x+2)/(2x^2-6) complete the statements. f(x)->_________ as x->-infinity f(x)->_________ as x->infinity In the blanks, I say for the first one infinity then -infinity for the second one.

83. ## Math

The sum to infinity of a G.P. is 16 and the sum of the first 4terms is 15. Find the first 4 terms. Find the sum to infinity of the following (if they converge). ?(a)4+4/3+4/3²+... (b)9+7+5+3+...(can't do, its an AP ?) (c)20-10+5-2.5+...a=20,r=-0.5

84. ## math

i really don't understand why this 1-lim 3/(y+4) [the lim is x->infinity] the ans is 0 while this 2-lim (7-6x^5)/(x+3) [x->+infinity ] is - infinity. can anyone explain why the 1 is zero & the 2 is infinity.

85. ## Calculus

The limit from x--> infinity of x^(3/x) i keep getting 3/infinity, which is infinity and this answer is incorrect.

86. ## Calculus

Which of the following series converge? A. ∑n=1 to infinity of 1/n^2 B. ∑n=1 to infinity of 1/n C. ∑n=1 to infinity (-1)^n/(√n) I think the answer is A and C.

the actual problem is integral(2 to +infinity) (1/x^2) dx and after integrating and plugging in the bounds, i got -1/(infinity sign)+ 1/2 does that converge to 1/2, Ln2, 1, 2 or is the answer nonexistent? what i was thinking that everytime the bottom

88. ## Math-Calculus

Hi, I am trying to figure out what the limit as h approaches 0 of (1-2h)^(1/h) is. I am unfamiliar with the process I am supposed to use to solve this limit. I have just been reasoning out this limit, but I keep getting the answer, 1^(infinity)=1. My

89. ## Rational Inequities

Can you please check my answers? Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. x-2/x+1 or equal to 0 my answer: (3,8] 2/x-2

90. ## Calculus

F(x)=(2x-1)/ (|x| -3) Rewrite f(x) as a piecewise function. Then find the limit as it approaches positive infinity and negative infinity.

91. ## calculus

f(x)=2x+8x^-1.For this function there are four important intervals: (-infinity,A],[A,B),(B,C), and [C,infinity) where A,B and C are either critical numbers or points at which f(x) is undefined.Find A,B and C.

92. ## calculus

Recall that a function G(x) has the limit L as x tends to infinity, written lim(x->infinity)G(x) = L, if for any epsilon > 0, there exists M >0 so that if x > M, then |G(x) − L| < epsilon. This means that the limit of G(x) as x tends to infinity does not

93. ## math (3)

Find the domain of the function. Write your answer in interval notation. (If you need to enter ∞ or -∞, type INFINITY or -INFINITY.) f(s,t)= sqrt(s^2+t^2) s = ? t = ?

94. ## calculus - ratio test

infinity of the summation n=1: (e^n)/(n!) [using the ratio test] my work so far: = lim (n->infinity) | [(e^n+1)/((n+1)!)] / [(e^n)/(n!)] | = lim (n->infinity) | [(e^n+1)/((n+1)!)] * [(n!)/(e^n)] | = lim (n->infinity) | ((e^n)(e^1)(n!)) / ((n+1)(n!)(e^n)) |

95. ## ALGEBRA

Solve the inequality. (Enter INFINITY for infinity and -INFINITY for -infinity as needed.) 6

96. ## Math

For the graph of (3-x)/(5x+2)^3: is the following information right? x-intercept: (3,0) y-intercept: (0,0.375) vertical asymptote: x= -0.4 horizontal asymptote: y=0 increasing: (4.7, infinity) decreasing: (-infinity, -0.4) (-0.4, 4.7) concave up: (-0.4,

97. ## Pre-calculus

Can somebody help me wit this? Find the range and the domain of: f(x)=(1/2)|x-2| The domain is all real numbers (x) from -infinity to infinity The range (of f(x)) is 0 to infinity, since it can never be negative. f(x) has a minimum value of zero when x=2.

98. ## Math

The function f(x)=(x-1)/(x-4)*sqrt(x+2) is negative for x in... a. (1,4) b. (-infinity, 4) c. (-infinity, 1) d. (4, infinity)

99. ## Calculus

Find the limit. lim 1/x^2-4 a)x->2^+ b)x->2^- c)x->-2^+ d)x->-2^- I'm completely lost. I don't understand how some answers are infinity and the others are negative infinity.

100. ## math (4)

Find the domain of the function. Write your answer in interval notation. (If you need to enter ∞ or -∞, type INFINITY or -INFINITY.) h(u,v) = sqrt(4-u^2-v^2) u^2+v^2 = ?