37. What is the summation from 1 to Infinity of k^2/k!

A) e

B) 2e

C) (e+1)(e-1)

D) e^2

E) Infinity

Answer - B

So, I tried expanding e with its taylor series namely

1/k! and then somehow incorporate k^2 on top with no avail. I'm a little unsure how the answer is 2e if anyone could explain this to me I would appreciate it.

I was under the assumption 2e = Summation of 2/k!