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

Question

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