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Find the Taylor series for $ f(x) $ centered at the given value of $ a. $ [Assume that $ f $ has a power series expansion. Do not show that $ R_n (x) \to 0.$] Also find the associated radius of convergence.

$ f(x) = x^6 - x^4 + 2, $ $ a = -2 $

$f(x)=50-160(x+2)+216(x+2)^{2}-152(x+2)^{3}+59(x+2)^{4}-12(x+2)^{5}+(x+2)^{6}$

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