Question

limit of n^x/x! as x goes to inf is 0 ,can u explain y?

Answer 1

Looks like a taylor series expansion.

Answer 2

Did you know \[
e^x = \sum_{n=0}^{\infty }\frac{x^n}{n!}
\]

Answer 3

i know the limit of 1/x! will be zero but what about n^x as x-->inf?

Answer 4

Do you know l'hospital's rule?

Answer 5

What you need to realize is that the \(x!\) and the \(n^x\) are both competing.

Answer 6

yes,u mean Derivation of the numerator and denominator

Answer 7

what the limit of n^x?
is that correct ,in this question we have inf/inf so ,we use l'hospital's rule?

Answer 8

We have an indeterminate form \(\infty / \infty\)