The Taylor series at x = 0 of the function 1 ( 1 + x ) 2 , byusing suitable operations ( differentiation , substitution, etc.) on the Taylor series at x = 0 of 1 1 − x , e x or cos x .

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Chapter 11.5, Problem 9E

To determine

The Taylor series at x=0 of the function 1(1+x)2, byusing suitable operations (differentiation, substitution, etc.) on the Taylor series at x=0 of 11−x, ex or cosx.

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