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## Homework Statement

Let T(x) = [tex]\sum^{\infty}_{k=0}[/tex] [tex]\frac{1}{2^k}[/tex] [tex]\frac{(x-3)}{k!}[/tex]

^{k}be the Taylor series for a function f. What is the value of f

^{10}(3), the tenth derivative of f at x = 3?

## The Attempt at a Solution

I have a very small idea of actually starting this problem. Can I just derive the infinite series by taking derivatives of [tex]\frac{1}{2^k}[/tex] [tex]\frac{(x-3)}{k!}[/tex]

^{k}10 times?

Basically, what is the first step in this problem?