Limit of $\exp(-2n) \sum_{k=1}^{n} \frac{(2n)^{k}}{k !}$ as $n \to \infty$

Question

What is the limit of $$\exp(-2n) \sum_{k=1}^{n} \frac{(2n)^k}{k !}$$ as $n \to \infty ?$

I am getting the indeterminate form $0 \times \infty$ by applying limit directly. I don't find any other way to solve this limit.