# calc

posted by .

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.

## Similar Questions

1. ### Calc

Does 1/ln(x+1) converge or diverge? I've tried the nth term test, limit comparison test, and integral test. All I get is inconclusive. The other tests I have (geometric series, p-series, telescoping series, alternating series, and
2. ### 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
3. ### calculus

1. integral -oo, oo [(2x)/(x^2+1)^2] dx 2. integral 0, pi/2 cot(theta) d(theta) (a) state why the integral is improper or involves improper integral (b) determine whether the integral converges or diverges converges?
4. ### Calculus II

Determine whether the sequence converges or diverges. If it converges, find the limit. An=((-2)^n)/n!
5. ### Calculus

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) limit n approaches infinity of an = e^(−6/sqrt(n))
6. ### 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)]]
7. ### calculus

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) An = cos(n/8)
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)
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, ...}
10. ### 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...)

More Similar Questions