Solved: In Exercises 3136, (a) find the sum of the series, (b) use a graphing utility to

Chapter 9, Problem 32

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Numerical, Graphical, and Analytic Analysis In Exercises 31–36, (a) find the sum of the series, (b) use a graphing utility to find the indicated partial sum \(S_{n}\) and complete the table, (c) use a graphing utility to graph the first 10 terms of the sequence of partial sums and a horizontal line representing the sum, and (d) explain the relationship between the magnitudes of the terms of the series and the rate at which the sequence of partial sums approaches the sum of the series.

\(\sum_{n=1}^{\infty} \frac{4}{n(n+4)}\)

Text Transcription:

S_n

sum_n=1^inftyfrac4n(n+4)