I entered the following into the search box and came up empty: \lim_{n\to\infty}(1+\frac xn)^n

I'd like to know whether someone has posted this question: How does one prove that $$ \lim_{n\to\infty}\left(1+\frac xn\right)^n = e^x\text{ ?} $$

So two questions: (1) How to search for that?; and (2) Is it there?

  • 4
    $\begingroup$ Here's one. (Found via Google, rather than this site's search engine.) $\endgroup$ – Douglas S. Stones Apr 17 '13 at 16:10
  • 2
    $\begingroup$ Here's something similar, also found using Google. $\endgroup$ – Peter Phipps Apr 17 '13 at 16:15
  • 3
    $\begingroup$ Here are the results from Google for that search restricted to math.stackexchange.com. Of course, there are many ways how to write that expression; so it is possible to experiment and try different similar searches. $\endgroup$ – Martin Sleziak Apr 17 '13 at 16:39

I've found six posts on this topic, listed here.

These were found by e.g. looking through related posts; I've also searched for things like:

[limit] "\frac" is:q

with obvious changes. I didn't really use Google to browse the site this time. But using


in your Google query limits the search to MSE, which is quite useful.


Try to use Approach0.xyz:



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