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4. The series 1 Σ(n² +13/2 is convergent and satisfies the hypotheses of the integral test. n=1 1 a. Find (n² + 1)³/2² b. Find s4 for the series, and use the result from part (a.) to estimate the sum of the series. Round your answer to 5 decimal places.

4. The series 1 Σ(n² +13/2 is convergent and satisfies the hypotheses of the integral test. n=1 1 a. Find (n² + 1)³/2² b. Find s4 for the series, and use the result from part (a.) to estimate the sum of the series. Round your answer to 5 decimal places.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. The series a. Find So n=1 1 (n² + 1)3/2 1 (n²+1)3/2 is convergent and satisfies the hypotheses of the integral test. b. Find s4 for the series, and use the result from part (a.) to estimate the sum of the series. Round your answer to 5 decimal places.
Transcribed Image Text:4. The series a. Find So n=1 1 (n² + 1)3/2 1 (n²+1)3/2 is convergent and satisfies the hypotheses of the integral test. b. Find s4 for the series, and use the result from part (a.) to estimate the sum of the series. Round your answer to 5 decimal places.
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