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

Revision as of 17:40, 4 March 2017

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

(a) $\sum _{n=0}^{+\infty }{\frac {n!}{(2n)!}}$

(b) $\sum _{n=0}^{+\infty }(-1)^{n}{\frac {1}{n+1}}$

Solution:

(a)

Step 2:

(b)

Step 2:

Final Answer:
(a)
(b)

@@ Line 1: / Line 1: @@
 <span class="exam">Determine if the following series converges or diverges. Please give your reason(s).
-::<span class="exam">a)<math>\sum_{n=0}^{+\infty} \frac{n!}{(2n)!}</math>
+<span class="exam">(a) &nbsp;<math>\sum_{n=0}^{+\infty} \frac{n!}{(2n)!}</math>
-::<span class="exam">b)<math>\sum_{n=0}^{+\infty} (-1)^n \frac{1}{n+1}</math>
+<span class="exam">(b) &nbsp;<math>\sum_{n=0}^{+\infty} (-1)^n \frac{1}{n+1}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"