Sum $\lim_{x\to -\infty} \sum_{k=1}^{1000} \frac{x^k}{k!}$

Question

The value of $$\lim_{x\to -\infty} \sum_{k=1}^{1000} \frac{x^k}{k!}$$ is

a.) $-\infty$

b.) $\infty$

c.) $0$

d.) $e^{-1}$

I tried expanding the series but it got me nowhere. Then i thought the expanded sequence is a part of e^x but it goes to infinity and in question it is only up to 1000.