Ask a new Limits question. Multiple AIs will answer your question.

Newest Limits Questions

1. Find lim t -->0 ( (tant/t) i - (3t/sint)j + (cos t + (t^2)/2 - 1) / t^2 ) k
   1. 1 answer
   2. asked by Ken
   3. 132 views
2. Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter
   1. 2 answers
   2. asked by Chuck
   3. 2,746 views
3. Find the indicated limits. If the limit does not exist, so state, or use the symbol + ∞ or - ∞. f(x) = { 5 if x ≤ 3 and 3
   1. 2 answers
   2. asked by Anonymous
   3. 484 views
4. lim ( (3x+1) / x) - (1/ sin x ) =x->0^(+)
   1. 1 answer
   2. asked by Amy
   3. 631 views
5. Explain whether the statement is true and give an explanation or a counterexample:If lim f(x) = ∞ and lim g(x) = ∞ , then
   1. 1 answer
   2. asked by ʕ•́ᴥ•̀ʔ
   3. 606 views
6. There may be more than one correct answer. Select all answers that apply.A)As x→∞, f(x)→−∞, and as x→−∞,
   1. 1 answer
   2. asked by London
   3. 598 views
7. If lim x→0 f(x)=3 and lim x→0 g(x)=1, then find lim x→0 (f(x)+g(x))^2a) 40 b) -4 c) 16 d) 28
   1. 1 answer
   2. asked by Alice
   3. 627 views
8. lim |x-3|/x-3x-->3^- A) 0 B) -1 C) 1
   1. 1 answer
   2. asked by Rayan
   3. 706 views
9. Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it.lim x → 0 (x
   1. 1 answer
   2. asked by john
   3. 1,101 views
10. Given that the limit as h approaches 0 of (f(6 + h) - f(6))/h = -2, which of these statements must be true?1. f'(6) exists 2.
    1. 4 answers
    2. asked by Anonymous
    3. 1,038 views
11. lim x→0 of [2-cos3x-cos4x]/(x)
    1. 1 answer
    2. asked by tish
    3. 1,396 views
12. Findlim f(x+h) - f(x) / h h -> 0 for f(x) = 5-2x
    1. 1 answer
    2. asked by ottilie
    3. 446 views
13. Show, using the properties of limits, that if lim x-->5 f(x)=3 then lim x---->5 x^2-4/f(x)=7
    1. 1 answer
    2. asked by Morris
    3. 1,493 views
14. Assuming that limits asx → ∞ have the properties for limits as x → c, use algebraic manipulations to evaluate lim x →
    1. 2 answers
    2. asked by Natalie
    3. 944 views
15. Givenƒ(x) = ex, verify that lim h->0 (e^x+h - e^h)/h + e^x and explain how this illustrates that ƒ′(x) = ln e • ƒ(x) =
    1. 1 answer
    2. asked by Jonathan
    3. 787 views
16. Find limit if exists1. Lim x goes to 0 x^2cos(1/x^3) 2.lim x goes to 1 to the left 4x/x^2+2x-3 3. Lim x goes to π to the right
    1. 1 answer
    2. asked by Yumin
    3. 640 views
17. True or False. Explain.If lim f(x)=L x → a then f(a)=L
    1. 2 answers
    2. asked by TayB
    3. 409 views
18. Find the limit if it exists.1. Lim x--> 3 (square root of x+1) -2 over (x-3)
    1. 0 answers
    2. asked by Anonymous
    3. 475 views
19. Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.lim x→∞
    1. 0 answers
    2. asked by TayB
    3. 1,359 views
20. Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.lim x→0+ (sinx
    1. 0 answers
    2. asked by TayB
    3. 782 views
21. Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.lim x→0
    1. 0 answers
    2. asked by TayB
    3. 948 views
22. For which pair of functions f(x) and g(x) below will the lim f(x)/g(x)equal 0x-infinity f(x) e^x; g(x) = x^3 f(x) x^5; g(x) =
    1. 0 answers
    2. asked by John
    3. 757 views
23. lim x->0 (Sin^3 3x - 3x^3)/(x^3) (x^4)
    1. 1 answer
    2. asked by Francis
    3. 538 views
24. Create two different functions for which the left-hand limit at zero is 0 and for which the right hand limit at zero is 8
    1. 6 answers
    2. asked by Jacke
    3. 668 views
25. evaluate the limit as x approaches 0 from the right. of the function xcos(1/x)I know the answer is O but I am not sure as of my
    1. 2 answers
    2. asked by rolloo
    3. 624 views
26. If limit as delta x approaches 0 of tan(0+Δx)-tan(0)/Δx =1which of the following is false: d/dx [tanx]=1 the slope of y =
    1. 1 answer
    2. asked by lisa
    3. 1,115 views
27. Question 1.lim h->0(sqrt 49+h-7)/h = 14 1/14*** 0 7 -1/7 Question 2. lim x->infinity(12+x-3x^2)/(x^2-4)= -3*** -2 0 2 3 Question
    1. 2 answers
    2. asked by Samantha
    3. 1,820 views
28. 1. Evaluate:lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0 1/4 1 4 The limit does not exist. 2. Evaluate: lim x->infinity
    1. 1 answer
    2. asked by Samantha
    3. 1,022 views
29. lim x->0+ for 1/1+ (5^(1/x))I think there's no limit, since there is a vertical tangent at 0, is this correct?
    1. 0 answers
    2. asked by Marcus
    3. 342 views
30. Consider the functionf(x)= 2e^x, if x<0 f(x) = -3x+2, if 0< or equal to x < or equal to 2/3 f(x) = 1, if x > or equal to 2/3 a)
    1. 0 answers
    2. asked by Paul
    3. 1,042 views
31. what is the limit as x goes to infinity of(8x^3-10x^2-2x)/(3-10x-11x^3)? what is the limit as x goes to NEGATIVE infinity of
    1. 1 answer
    2. asked by Anonymous
    3. 501 views
32. lim t>7 F(x) (1/t)−(1/7)/t-7
    1. 0 answers
    2. asked by Ira
    3. 308 views
33. lim (x^(2)-4)/(x-2)x->2 lim x->1 (x+1)/(x-1)
    1. 1 answer
    2. asked by Kelly
    3. 645 views
34. limit as delta x approaches 0 when f(x) = 4/ sqr xHave to use the (F(x+delta x)-f(x))/delta x method
    1. 1 answer
    2. asked by kale
    3. 908 views
35. (a) By graphing the functionf(x) = (cos 2x − cos x)/x2 and zooming in toward the point where the graph crosses the y-axis,
    1. 1 answer
    2. asked by Anonymous
    3. 1,519 views
36. Use L’Hopital’s rule to find the limit of this sequence(n^100)/(e^n) ...If you do L'Hop. Rule it would take forever, right?
    1. 2 answers
    2. asked by lola
    3. 571 views
37. lim as x->+1x^3 -1/x^2 -1 lim as x->-1 x^3 -1/x^2 -1 lim as x->1 x^3 -1/x^2 -1
    1. 1 answer
    2. asked by angie
    3. 331 views
38. Use a table to frind the indicated limit.3 7. lim(4x ) x-2 2 8. lim (2x + 1) x-3 x + 1 9. lim 2 x-0 x + 1
    1. 0 answers
    2. asked by Rick
    3. 493 views
39. Find the indicated limits. If the limit does not exist, so state, or use the symbol + ∞ or - ∞.f(x) = { 2 - x if x ≤ 3 {
    1. 0 answers
    2. asked by Chris
    3. 840 views
40. if f is a function such thatlim x->6,f(x)=-5, evaluate lim x->6 -2f(x)+5f(x+3).
    1. 1 answer
    2. asked by archi
    3. 531 views
41. find lim y. and lim yx->infinity. x-> negative infinity 1.) y= (x + sinx)/x 2.) y= x/ (1+ 2^x)
    1. 2 answers
    2. asked by Yoshi
    3. 567 views
42. For what values of k is lim x -> INF coshkx/sin2x finite?(Enter your answer as an interval or list of intervals, for example,
    1. 0 answers
    2. asked by Abi
    3. 505 views
43. 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?
    1. 0 answers
    2. asked by Chelsea
    3. 680 views
44. Verify each limit using the limit definitionLim(2x^2 + 4)=4 X-->0
    1. 1 answer
    2. asked by don
    3. 455 views
45. 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
    1. 1 answer
    2. asked by Randy
    3. 1,116 views
46. Given that lim x->c f(x)=6 and that lim x->c g(x)= -4, evaluate the following limit. Assume that c is a constant. The x in front
    1. 2 answers
    2. asked by Randy
    3. 1,467 views
47. Find the limit by direct substitution.A. lim x-> 5 square root cubed of x^2 -2x - 23. I replaced all of the x's with 5 and got
    1. 1 answer
    2. asked by Randy
    3. 542 views
48. This limit represents the derivative of some function f at some number a. Select an appropriate f and a.lim_(h->0)
    1. 0 answers
    2. asked by Naina
    3. 1,285 views
49. Evaluate the limits lim x^3 + 3/ x->¤ 2x^3 + 4x + 1 lim 1 - cosx / x->o x^2
    1. 1 answer
    2. asked by Beta plus
    3. 1,057 views
50. Evaluate the limit.lim x-->infinity 5x+6/6x^2-3x+7
    1. 1 answer
    2. asked by Essential Calculus
    3. 507 views
51. lim (x+x^2)/3xx->0 i need to factor it first then find the limit and the answer is 1/3. I just don't know how to work it out.
    1. 1 answer
    2. asked by kim
    3. 325 views
52. use the rule that sayslimit of (e^h - 1)/h = 1 as h approaches 0 to show that the limit of [ln(x+h)-lnx]/h as h approaches 0 =
    1. 0 answers
    2. asked by Kristen
    3. 601 views
53. 1) Limit theta approaching zerosin squared theta/ tan theta 2) Lim x appraoches zero x + sin x/x x + sin x/x = x/x + sinx/x 0 +
    1. 0 answers
    2. asked by jane
    3. 463 views
54. Evaluate limit, x -> a, [(x + 4a)^2 - 25a^2] / [x - a]My work: = limit, x -> a, (x^2 + 8ax + 16a^2 - 25a^2) / (x - a) = limit, x
    1. 1 answer
    2. asked by Anonymous
    3. 952 views
55. Find the indicated limitlim 3x^2 + 7x -2 / 3x^2 - 4x + 2 x--> 1
    1. 2 answers
    2. asked by Mary
    3. 992 views
56. 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
    1. 0 answers
    2. asked by Robert
    3. 619 views