Functions to power series Find power series

Chapter 8, Problem 44E

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QUESTION:

Functions to power series Find power series representations centered at 0 for the following functions using known power series. Give the interval of convergence for the resulting series.

\(f(x)=\tan ^{-1}\left(4 x^{2}\right)\)

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QUESTION:

Functions to power series Find power series representations centered at 0 for the following functions using known power series. Give the interval of convergence for the resulting series.

\(f(x)=\tan ^{-1}\left(4 x^{2}\right)\)

ANSWER:

Solution 44EStep 1:Given thatf(x)= tan1 (4x2)

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