- #1

- 16

- 1

## Homework Statement

find the limit n[itex]\rightarrow[/itex]∞ of 10

^{n}/ n!

## Homework Equations

L hospital rule

## The Attempt at a Solution

took log and separated the num and denom as:

n ln10-ln(n!)

n ln10-n ln(n)+n

1/n ( ln10 - ln(n)+1)

now i applied l hospital rule

then i got lim n[itex]\rightarrow[/itex]∞ as 0.So the actual answer is 1. (e

^{0})

I just want to know if the approach is correct.