Formula for the sum $\sum_{k=0}^a \frac{x^k}{k!}$

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How does one find a formula for the sum $\sum_{k=0}^a \frac{x^k}{k!}$ ? According to the post mentioned in the comments: $$\sum_{k=0}^n \frac{x^k}{k!}=\frac{ \Gamma (n+1,x)}{n!}e^x$$ ...but how do you actually evaluate $\Gamma (n+1,x)$ for the positive integer n?