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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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