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

Latest revision as of 18:22, 2 December 2017

For each of the following series, find the sum if it converges. If it diverges, explain why.

(a) $4-2+1-{\frac {1}{2}}+{\frac {1}{4}}-{\frac {1}{8}}+\cdots$

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

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 <span class="exam"> For each of the following series, find the sum if it converges. If it diverges, explain why.
-::<span class="exam">a) <math>4-2+1-\frac{1}{2}+\frac{1}{4}-\frac{1}{8}+\cdots</math>
+<span class="exam">(a) &nbsp;<math style="vertical-align: -14px">4-2+1-\frac{1}{2}+\frac{1}{4}-\frac{1}{8}+\cdots</math>
-::<span class="exam">b) <math>\sum_{n=1}^{+\infty} \frac{1}{(2n-1)(2n+1)}</math>
+<span class="exam">(b) &nbsp;<math>\sum_{n=1}^{\infty} \frac{1}{(2n-1)(2n+1)}</math>
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+[[009C Sample Final 2, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']]
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 [[009C_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]