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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.$f(x) = x^5 + 2x^3 + x,$ $a = 2$

## $f(x)=50+105(x-2)+92(x-2)^{2}+42(x-2)^{3}+10(x-2)^{4}+(x-2)^{5},$ $R=\infty$

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