If it converges find the limit and if it diverges justify why.

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- September 10th 2012, 06:27 AMlinalg123Does this sequence converge or diverge?

If it converges find the limit and if it diverges justify why. - September 10th 2012, 06:40 AMemakarovRe: Does this sequence converge or diverge?
I recommend calculating the first several elements and making a conjecture.

- September 10th 2012, 06:46 AMProve ItRe: Does this sequence converge or diverge?
It definitely does not converge. as , so eventually the terms will oscillate between -1 and 1.

- September 10th 2012, 06:56 AMamillionwintersRe: Does this sequence converge or diverge?
Does this help you?

- September 10th 2012, 08:04 AMlinalg123Re: Does this sequence converge or diverge?
Thanks for the replies. I understand the sequence definitely diverges.

Please note my brother asked me this question and it is not part of my coursework(and i have never done anything like this before), which is why i didn't make an attempt at a solution, however i am still interested in the answer.

His question asked to find an appropriate epsilon and n to justify why the series diverges. - September 10th 2012, 08:49 AMPlatoRe: Does this sequence converge or diverge?