Answer: Consider the series (a) Verify that the series converges. (b) Use a graphing
Chapter 9, Problem 53(choose chapter or problem)
Consider the series \(\sum_{n=1}^{\infty} \frac{1}{(2 n-1)^{2}}\)
(a) Verify that the series converges.
(b) Use a graphing utility to complete the table.
(c) The sum of the series is \(\pi^{2} / 8\). Find the sum of the series
\(\sum_{n=3}^{\infty} \frac{1}{(2 n-1)^{2}}\)
(d) Use a graphing utility to find the sum of the series
\(\sum_{n=10}^{\infty} \frac{1}{(2 n-1)^{2}}\)
Text Transcription:
sum_n=1 ^infty 1 / (2n - 1)^2
pi^2 / 8
sum_n=3 ^infty 1 / (2n - 1)^2
sum_n=10 ^infty 1 / (2n - 1)^2
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