Difference between revisions of "009C Sample Final 3, Problem 2"

Revision as of 17:53, 4 March 2017

Consider the series

\sum _{n=2}^{\infty }{\frac {(-1)^{n}}{\sqrt {n}}}.

(a) Test if the series converges absolutely. Give reasons for your answer.

(b) Test if the series converges conditionally. Give reasons for your answer.

Solution:

(a)

ExpandStep 2:

(b)

ExpandStep 2:

ExpandFinal Answer:
(a)
(b)

@@ Line 1: / Line 1: @@
 <span class="exam"> Consider the series
-::::<math>\sum_{n=2}^\infty \frac{(-1)^n}{\sqrt{n}}.</math>
+::<math>\sum_{n=2}^\infty \frac{(-1)^n}{\sqrt{n}}.</math>
-::<span class="exam">a) Test if the series converges absolutely. Give reasons for your answer.
+<span class="exam">(a) Test if the series converges absolutely. Give reasons for your answer.
-::<span class="exam">b) Test if the series converges conditionally. Give reasons for your answer.
+<span class="exam">(b) Test if the series converges conditionally. Give reasons for your answer.
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 |}
 '''Solution:'''
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