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**1. The problem statement, all variables and given/known data**

Given: ## f(x) = \sum_{n=0}^\infty (-1)^n \frac {\sqrt n} {n!} (x-4)^n##

Evaluate: ##f^{(8)}(4)##

**2. Relevant equations**

The Taylor Series Equation

**3. The attempt at a solution**

Since the question asks to evaluate at ##x=4##, I figured that all terms in the series except for the initial constant term ##f(a)## would be equal to 0, hence all I have to do is to evaluate ##f(a)##. If I were to extract ##f(x)## from the function, all I get is ##(-1)^n \sqrt n## and I'm unsure how to evaluate it from there