1. Find the Taylor polynomial of degree 4 centered at c=2 for the function $\displaystyle f(x)=\sqrt[3]{x}$

2. Given $\displaystyle e \approx 1 + 1 + {1^2\over2!}+ {1^3\over3!}+ {1^4\over4!}+ {1^4\over4!}$, use Taylor's Theorem to obtain an upper bound for the error of the approximation. Then calculate the exact value of the error.

3. Find the radius of convergence of the power series $\displaystyle \sum_{n=0}^{\infty}{(2n)!x^{2n} \over {n!}}$

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