Is there a way to rewrite these following expressions so that they have in front of them?

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- Oct 12th 2012, 03:52 PMMathIsOhSoHardIs there a way to rewrite these expressions?
Is there a way to rewrite these following expressions so that they have in front of them?

- Oct 12th 2012, 04:34 PMchiroRe: Is there a way to rewrite these expressions?
Hey MathIsOhSoHard.

For the second one, if n is an integer then (-2)^n = 2^n * (-1)^n. The first one is different though and has no easy factorization with (-1)^n (but you can look at complex numbers). - Oct 12th 2012, 04:43 PMMathIsOhSoHardRe: Is there a way to rewrite these expressions?
Are you sure the first one can't be rewritten?

I need to show that is either convergent or divergent and since the expression is an alternating series, I should be able to use Leibniz criterion however I need to rewrite it with as a factor.

Are you sure this can't be done? :( - Oct 12th 2012, 04:47 PMskeeterRe: Is there a way to rewrite these expressions?
note ...

for all - Oct 12th 2012, 05:31 PMMathIsOhSoHardRe: Is there a way to rewrite these expressions?
- Oct 12th 2012, 05:40 PMskeeterRe: Is there a way to rewrite these expressions?
what makes you think the series is alternating? (because it's not)

as far as the value , find the maximum value of the function - Oct 12th 2012, 06:43 PMHallsofIvyRe: Is there a way to rewrite these expressions?
- Oct 12th 2012, 10:50 PMhollywoodRe: Is there a way to rewrite these expressions?
I've always called it the alternating series test instead of Leibniz criterion - just in case you run across that terminology.

For absolute convergence, you can just say that:

It's true that skeeter's bound is tighter, but you don't need it to prove convergence.

- Hollywood