Problem 37 9768
Posted: Mon Oct 27, 2008 5:19 pm
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!
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!