# Calc 2 questions super lost! Evaluate a power series to find the sum of the series, or show that the series diverges. (If a series diverges, enter DIVERGES.)? (a) #11/1-11/3+11/5-11/7+11/9-11/11+....# (b)#sum_(n=2)^oo ((-1)^n(8^n))/(n!) #

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please help not sure how to do it. I know they are both convergent.

please help not sure how to do it. I know they are both convergent.

##### 1 Answer

May 17, 2018

(a)

(b)

#### Explanation:

Both of these series converge, as can be easily seen from the standard tests.

**(a)**

We know

Hence

and so

Substituting

Thus

Now

Thus

So the given series

**(b)**