Question: Question 1(6 points; 5 points for the solution, 1 point for clarity and organization of the solution)(a) Using the power seriesf(x)=11-x=k=0xk=1xx2x3 cdots,|x| <1find a power

Question 1(6 points; 5 points for the solution, 1 point for clarity and organization of the solution)(a) Using the power seriesf(x)=11-x=k=0xk=1xx2x3 cdots,|x|<1find a power series representation of: g(x)=xf(x2)(b) Use the first three non-zero terms of the series you found in part (a) to uvite the first three non-sero terms of a power series representation to estimate 01g(x)dx.

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