Difference between revisions of "009C Sample Final 3, Problem 2"
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| − | <span class="exam"> | + | <span class="exam"> Consider the series |
| − | :: | + | ::<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">(b) Test if the series converges conditionally. Give reasons for your answer. | |
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| − | '''Solution | + | <hr> |
| + | [[009C Sample Final 3, Problem 2 Solution|'''<u>Solution</u>''']] | ||
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| − | + | [[009C Sample Final 3, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']] | |
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[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | [[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 18:41, 2 December 2017
Consider the series
- 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=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.