Question

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.

Answer 1

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.

Answer 2

That makes me feel so much better. It must have been an error on the teacher's part then. Thank you very much.