Approximating a Sum In Exercises 31 and 32, (a) use a graphing utility to graph several partial sums of the series. b) find the sum of the series and its radius of convergence,(c) use a graphing utility and 50 terms of the series to approximate the sum when x = 0.5 . and (d) determine what the approximation represents and how good the approximation is. ∑ n = 0 ∞ ( − 1 ) n x 2 n + 1 ( 2 n + 1 ) !
Approximating a Sum In Exercises 31 and 32, (a) use a graphing utility to graph several partial sums of the series. b) find the sum of the series and its radius of convergence,(c) use a graphing utility and 50 terms of the series to approximate the sum when x = 0.5 . and (d) determine what the approximation represents and how good the approximation is. ∑ n = 0 ∞ ( − 1 ) n x 2 n + 1 ( 2 n + 1 ) !
Solution Summary: The author illustrates the graph obtained by the use of a graphing utility.
Approximating a Sum In Exercises 31 and 32, (a) use a graphing utility to graph several partial sums of the series. b) find the sum of the series and its radius of convergence,(c) use a graphing utility and 50 terms of the series to approximate the sum when
x
=
0.5
. and (d) determine what the approximation represents and how good the approximation is.
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