Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
5. (a) Approximate the sum of the series 1 n³ n=1 the first 10 terms. Estimate the error involved in this approxima- tion. (b) How many terms are required to ensure that the sum is accu- rate to within 0.0001? by using the sum of ∞ 2 n 6. Determine whether the series Σ(−1)²+¹, n³ + 1 vergent, conditionally convergent, or divergent. n=1 is absolutely con-
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Transcribed Image Text:5. (a) Approximate the sum of the series 1 n³ n=1 the first 10 terms. Estimate the error involved in this approxima- tion. (b) How many terms are required to ensure that the sum is accu- rate to within 0.0001? by using the sum of ∞ 2 n 6. Determine whether the series Σ(−1)²+¹, n³ + 1 vergent, conditionally convergent, or divergent. n=1 is absolutely con-
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