Question: What are the Taylor series for 1/(1 - x), 1/(1 + x), e x , sin x, cos x, ln(1 + x), and tan -1

What are the Taylor series for 1/(1 - x), 1/(1 + x), e^x, sin x, cos x, ln(1 + x), and tan^-1x? How do you estimate the errors involved in replacing these series with their partial sums?

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