Find the limit of the sequence of partial sums whose general term is a sub n equals 100 to the nth power over n factorial . (4 points)

Question

A) 10
B) 1
C) Does not exist
D) 0

Answer 1

If Sn = ∑an, then recall that
e^k = 1 + k/1! + k^2/2! + ...
I don't see e^100 up there, so I guess maybe you mean

Sn = 100^n/n!
In that case, Sn=0, since factorials grow faster than powers.