In problems 6-9, use the Taylor series for f centered at 0 to find the power series representation for g. Write your answer using sigma
In problems 6-9, use the Taylor series for f centered at 0 to find the power series representation for g. Write your answer using sigma notation and give the radius of convergence for the resulting series. x 3 6. f(x) =sinx, g(x)=xsinx3 7. f ( x) = = g( x ) = 1 - X 2+ X 8. f(x)=In(1-x), g(x)=In(2-3x) 9. f ( x ) = _ g ( x ) = 1-X (1-2x)
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