calc

determine whethere the sequence a(n)=nsinn/n^3 converges or diverges. Explain why it does or does not converge. If it converges find the limit.

Sin(n) is always between -1 and 1. So, you have:

-1/n^2 < a(n) < 1/n^2

Both the lower bound and the upper bound converge to zero, so the sequence converges to zero.

  1. 👍 0
  2. 👎 0
  3. 👁 121
asked by kelly

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Determine whether the sequence A(n)=nsinn/n^3 converges or diverges. Eplain why it does or does not converge. It is converges find the limit

    asked by Kelly on April 14, 2007
  2. Math

    Does the following infinite geometric series diverge or converge? Explain. 1/7+1/28+1/112+1/448 A) It converges; it has a sum.*** B) It diverges; it does not have a sum. C) It diverges; it has a sum. D) It converges; it does not

    asked by M, S, E, on May 11, 2017
  3. Math

    Does the following infinite geometric series diverge or converge? Explain. 3 + 9 + 27 + 81 + . . . A) It diverges; it does not have a sum. B) It converges; it has a sum.*** C) It diverges; it has a sum. D) It converges; it does

    asked by M, S, E, on May 4, 2017
  4. probability

    For each of the following sequences, determine the value to which it converges in probability. (a) Let X1,X2,… be independent continuous random variables, each uniformly distributed between −1 and 1. Let

    asked by juanpro on April 22, 2014
  5. Probability

    For each of the following sequences, determine the value to which it converges in probability. (a) Let X1,X2,… be independent continuous random variables, each uniformly distributed between −1 and 1. Let

    asked by A on April 23, 2014
  6. calculus

    Determine whether the sequence converges or diverges. If it converges, find the limit. an = cos^2(n)/3^n

    asked by Anonymous on April 7, 2019
  7. calculus

    Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) (1/3,1,1/4,1/2,1/5,1/3,1/6,1/4...)

    asked by lidiya on May 16, 2017
  8. calculus

    Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) An=(n^2)(e^-n)

    asked by lidiya on May 16, 2017
  9. calculus

    Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) {0, 4, 0, 0, 4, 0, 0, 0, 4, ...}

    asked by lidiya on May 16, 2017
  10. calculus

    Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) An=[(-1)^n]/[8[(n)^(1/2)]]

    asked by lidiya on May 16, 2017

More Similar Questions