If a function f is represented by a power series on aninterval, then the graphs of the

Chapter 9, Problem 54

(choose chapter or problem)

If a function \(f\) is represented by a power series on an interval, then the graphs of the partial sums can be used as approximations to the graph of \(f\).

(a) Use a graphing utility to generate the graph of \(1/(1 − x)\) together with the graphs of the first four partial sums of its Maclaurin series over the interval \((−1, 1)\).

(b) In general terms, where are the graphs of the partial sums the most accurate?

Equation Transcription:

Text Transcription:

f

1/(1-x)

(-1,1)

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