Question

Determine if the series converges conditionally, converges absolutely, or diverges. /sum(n=1 to infinity) ((-1)^n(2n^2))/(n^2+4) /sum(n=1 to...

Determine if the series converges conditionally, converges absolutely, or diverges.

/sum(n=1 to infinity) ((-1)^n(2n^2))/(n^2+4)

/sum(n=1 to infinity) sin(4n)/4^n

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given: Sigma (infinity) (n=1) sin((2n-1)pi/2)ne^-n Question: Determine if the series converges or diverges Additional: If converges,...
Given: Sigma (infinity) (n=1) sin((2n-1)pi/2)ne^-n Question: Determine if the series converges or diverges Additional: If converges, is it conditional or absolute?
Determine where series converges or diverges: ∑(-1)n(n!)2/(2n)!
Determine where series converges or diverges: ∑(-1)n(n!)2/(2n)!
State whether the given series converges or diverges, and why. #21 sum 1/n^5, n=1 to infinity...
State whether the given series converges or diverges, and why. #21 sum 1/n^5, n=1 to infinity #22 sum 1/5^n, n=0 to infinity #23 sum 6^n / 5^n, n=0 to infinity #24 sum n^-4, n=1 to infinity #25 sum sqrt(n), n=1 to infinity
Determine whether the given series are absolutely convergent, conditionally convergent or divergent: a.) sigma ∞to n=0...
Determine whether the given series are absolutely convergent, conditionally convergent or divergent: a.) sigma ∞to n=0 (−3)n\(2n + 1)! b.) sigma ∞ ton=1 (2n)!\(n!)2
Determine if the series converges or diverges. Justify your answer by stating the test used and...
Determine if the series converges or diverges. Justify your answer by stating the test used and the conditions of the test. \sum _{n=0}^{\infty } [100+\sqrt{n}]/[4n^2-6n+1]
Consider the series ∑n=1 ∞ an where an=(5n+5)^(9n+1)/ 12^n In this problem you must attempt to...
Consider the series ∑n=1 ∞ an where an=(5n+5)^(9n+1)/ 12^n In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L= lim n→∞ ∣∣∣an+1/an∣∣ Enter the numerical value of the limit L if it converges, INF if the limit for L diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L= Which of the following statements is true? A. The...
Given the alternating series: sigma(2 to infinity): (-1)^n / ln n Determine if the series converge...
Given the alternating series: sigma(2 to infinity): (-1)^n / ln n Determine if the series converge absolutely.    (Use the fact that: ln n < n) Determine if the series converge conditionally. (Estimate the sum of the infinite series using the first 4 terms in the series and estimate the error. How many terms should we use to approximate the sum of the infinite series in question, if we want the error to be less than 0.5?
Determine if each of the following series converges or diverges showing all the work including all...
Determine if each of the following series converges or diverges showing all the work including all the tests used. Find the sum if the series converges. a. Σ (n=1 to infinity) (3^n+1/ 7^n) b. Σ (n=0 to infinity) e^n/e^n + n
prove whether the following series converge absolutely, converge conditionally or diverge give limit a) sum of...
prove whether the following series converge absolutely, converge conditionally or diverge give limit a) sum of (-5)n /n! from 0 to infinity b) sum of 1/nn from 0 to infinity c) sum of (-1)n /(1 + 1/n) from 0 to infinity d) sum of 1/5n from 0 to infinity
Determine whether the series ∞ ∑ n=1 (e^n+1+ (−1)^n+1)/(π^n) converges or diverges. If it is convergent,...
Determine whether the series ∞ ∑ n=1 (e^n+1+ (−1)^n+1)/(π^n) converges or diverges. If it is convergent, find its sum.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT