Difference between revisions of "009C Sample Final 2, Problem 3"
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| − | <span class="exam"> | + | <span class="exam">Determine if the following series converges or diverges. Please give your reason(s). |
| − | ::<span class="exam">a) <math | + | ::<span class="exam">a)<math>\sum_{n=0}^{+\infty} \frac{n!}{(2n)!}</math> |
| − | ::<span class="exam">b) <math | + | ::<span class="exam">b)<math>\sum_{n=0}^{+\infty} (-1)^n \frac{1}{n+1}</math> |
{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
Revision as of 11:14, 18 February 2017
Determine if the following series converges or diverges. Please give your reason(s).
- a)
- b)Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=0}^{+\infty} (-1)^n \frac{1}{n+1}}
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Solution:
(a)
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(b)
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| Final Answer: |
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| (a) |
| (b) |