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- Find a power series representing an antiderivative of f(x) = e-(x^4) Use the power series to evaluate lim as x--> 0 of (e-(x^4) + x4 - 1) / x8Modify the power series ln ( 1 + x ) = x − x 2/ 2 + x 3/ 3 − x 4 /4 + x 5/ 5 − … to find a power series for ln ( 1 + x )/ x. Then use your power series for ln( 1 + x) /x to find the power series of the antiderivative ∫ ln ( 1 + x )/ x d x.find a power series for f(x)= ln((1+x)²). ln((1+x²))= Σ n=0 and infinity
- For any function of Individual Problem find1) the power series using transformations of the types A-G of theknown power series of the corresponding elementary function,2) the radius of convergence,3) the interval of convergence,4) the 7-th derivative of f(x) at x = 0.How would I find the Maclaurian series for f(x)? (attached)Find Taylor's Series for: f(x)= 1/(1+x) ; about x=1