# Limits with ChatGPT

**Published by:** [Drasen](https://paragraph.com/@drasen/)
**Published on:** 2023-03-10
**URL:** https://paragraph.com/@drasen/limits-with-chatgpt

## Content

Here we examine the mathematical capability of ChatGPT *Q. find the limit of ((1+n)/e)^(-n)*n! as n goes to infinityconvert ((1+n)/e)^(-n)\*n! into [(e^n)/(1+(1/n))^n]\*n!, then substitute e for (1+(1/n))^nwith e^(n-1)\*n!, use Stirling's approximation to get e^n\*(n/e)^(n+1/2)\*sqrt(2\*pi/n), thus establish the limit goes to infinity

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