Question
Asked Nov 13, 2019
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Find the power series representation of ln[1 + x] either by differentiation or
integration of the power series or by finding p(x), the Taylor series. Determine
the interval of convergence.

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Expert Answer

Step 1

The power series representation of the following function is to be determined.

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Step 2

The following expansion is used to determine the power series of the function.

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1 =1+ x + x2+x +... 1 x 3 which is true for |x<1 -Σχ 0

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Step 3

First, the derivative of th...

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1 f'(x)= 1+x 1 1-(-x)

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Tagged in

Math

Calculus