The interval of convergence of the geometric series (a) Find the sum of the series when x

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The interval of convergence of the geometric seriesimage


(a) Find the sum of the series when x = 5/2. Use a graphing utility to graph the first six terms of the sequence of partial sums and the horizontal line representing the sum of the series.


(b) Repeat part (a) for x = -5/2.


(c) Write a short paragraph comparing the rates of convergence of the partial sums with the sums of the series in parts(a) and (b). How do the plots of the partial sums differ as they converge toward the sum of the series?


(d) Given any positive real number M, there exists a positive integer N such that the partial sum


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Use a graphing utility to complete the table.


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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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