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Test the convergence of the series given by (r + 1)! r!(er) r=

Test the convergence of the series given by (r + 1)! r!(er) r=

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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(a) Test the convergence of the series given by (r + 1)! r!(er) r=1 (b) Obtain 3 non zero terms of the Maclaurins series for sin²x. Hence, evaluate 0.5 sin d.x. 0.5 sin² T x² Give your answer correct to 4 decimal places.
Transcribed Image Text:(a) Test the convergence of the series given by (r + 1)! r!(er) r=1 (b) Obtain 3 non zero terms of the Maclaurins series for sin²x. Hence, evaluate 0.5 sin d.x. 0.5 sin² T x² Give your answer correct to 4 decimal places.
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