Question

Prove that a sequence (un such that n>=1) absolutely converges if the limit as n approaches...

Prove that a sequence (un such that n>=1) absolutely converges if the limit as n approaches infinity of n2un=L>0

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
Using the definition of convergence of a sequence, prove that the sequence converges to the proposed...
Using the definition of convergence of a sequence, prove that the sequence converges to the proposed limit. lim (as n goes to infinity) 1/(n^2) = 0
Prove that if a sequence converges to a limit x then very subsequence converges to x.
Prove that if a sequence converges to a limit x then very subsequence converges to x.
Let f be defined on the (0,infinity). Prove that the limit as x approaches infinity of...
Let f be defined on the (0,infinity). Prove that the limit as x approaches infinity of F(x) =L if and only if the limit as x approaches 0 from the right of f(1/x) = L. Does this hold if we replace L with either infinity or negative infinity?
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
1) Determine if the sequence converges or Diverges. If it converges find the limit. an=n2*(e-n)
1) Determine if the sequence converges or Diverges. If it converges find the limit. an=n2*(e-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
prove that a sequence converges if and only if all subsequences converge to the same limit
prove that a sequence converges if and only if all subsequences converge to the same limit
Prove that if (xn) is a sequence of real numbers, then lim sup|xn| = 0 as...
Prove that if (xn) is a sequence of real numbers, then lim sup|xn| = 0 as n approaches infinity. if and only if the limit of (xN) exists and xn approaches 0.
Prove that 5 | Un if and only if 5|n. Where Un is the Fibonacci sequence.
Prove that 5 | Un if and only if 5|n. Where Un is the Fibonacci sequence.
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer...
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = (4^n+1) / 9^n
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT