The limit as x approaches infinity of (1+1/x)^x.

I tried this twice and I got an answer of e both times, but the answer that my teacher read off in class was not e. Please help.

2 answers

Lim (1 + 1/x)^x , as x approaches infinity is a definition of e

perhaps your teacher gave you a decimal approximation of e.

If not, then your teacher is wrong.
That makes me feel so much better. It must have been an error on the teacher's part then. Thank you very much.