MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications
MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications
6th Edition
ISBN: 9781119385134
Author: Amos Gilat
Publisher: WILEY
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Chapter 3, Problem 22P

Use MATLAB to show that the sum of the infinite series n = 1 1 n 2 converges to p2/6. Do this by computing the sum for:

(a) n=5, (b) n=50, (c) n=5000

For each part create a vector n in which the first element is 1, the increment is 1 and the last term is 5, 50, or 5,000. Then use element-by-element calculations to create a vector in which the elements are 1 n 2 . Finally, use MATLAB’s built-in function sum to sum the series. Compare the values to p2/6. Use format long to display the numbers.

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MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications

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