Question

Consider f(x)=(x-1)/(x+1) for all x≠-1.

(a) Find Taylor series for f(x) about x=1 of powers in ascending order, showing terms up to (x-1)⁴.

(b) Write the nth term of the power series obtained in part (a).

(c) Determine all values of x such that f(x) equals to its Taylor series about x=1

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