(a) Use the Maclaurin series for 1/(1 x) to find theMaclaurin series forf(x) = x1 x2(b)

Chapter 9, Problem 27

(choose chapter or problem)

(a) Use the Maclaurin series for \(1 /(1-x)\) to find the Maclaurin series for

\(f(x)=\frac{x}{1-x^{2}}\)

(b) Use the Maclaurin series obtained in part (a) to find \(f^{(5)}(0) \text { and } f^{(6)}(0)\)

(c) What can you say about the value of \(f^{(n)}(0)\) ?

Equation Transcription:

Text Transcription:

1/(1-x)

f(x)=x/1-x^2

f^(5) (0)

f^(6) (0)

f^(n) (0)

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