Hello there,
I need help for this limit problem. The Calculus teacher over here in Cali didn't explain it to us yet, but it's one of our homework questions.

Please find the limit of f(x) when x approaches positive infinity. F(x) = (1+ 3/x)^( -x).

So it uses the fact that lim as x -> infinity of (1 + 1/x)^x.


The limit for (1+3/x)^(-x) as x -> infinity is e^(-3). But, can you show your steps for this problem?
Thank you very much.