Difference between revisions of "009C Sample Final 3, Problem 4"

Revision as of 17:54, 4 March 2017

Determine if the following series converges or diverges. Please give your reason(s).

(a) $\sum _{n=1}^{+\infty }{\frac {n!}{(2n)!}}$

(b) $\sum _{n=1}^{+\infty }(-1)^{n}{\frac {1}{n+1}}$

Solution:

(a)

ExpandStep 2:

(b)

ExpandStep 2:

ExpandFinal Answer:
(a)
(b)

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 <span class="exam"> Determine if the following series converges or diverges. Please give your reason(s).
-::<span class="exam">a) <math>\sum_{n=1}^{+\infty} \frac{n!}{(2n)!}</math>
+<span class="exam">(a) &nbsp;<math>\sum_{n=1}^{+\infty} \frac{n!}{(2n)!}</math>
-::<span class="exam">b) <math>\sum_{n=1}^{+\infty} (-1)^n\frac{1}{n+1}</math>
+<span class="exam">(b) &nbsp;<math>\sum_{n=1}^{+\infty} (-1)^n\frac{1}{n+1}</math>
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 |}
 '''Solution:'''
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