2. Consider the series (-1)2n+1 22n+1(2n + 1)! (i) Show, by any valid means, that this...
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2. Consider the series (-1)2n+1 22n+1(2n + 1)! (i) Show, by any valid means, that this series converges. (ii) What is the smallest natural number N so that the approximation of the series by its Nth partial sum has an error smaller than 0.001? (iii) Guess the value of the series. (There may be a hidden Taylor series here...) 2. Consider the series (-1)2n+1 22n+1(2n + 1)! (i) Show, by any valid means, that this series converges. (ii) What is the smallest natural number N so that the approximation of the series by its Nth partial sum has an error smaller than 0.001? (iii) Guess the value of the series. (There may be a hidden Taylor series here...)
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SOLUTION IN DETAILS i To show that the series converges we can analyze the behavior of the terms and ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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