Question

what is the lim as x-->infinity of ((1-(3/x))^(x)

Answer 1

hmmm... never seen the trick Wolfram uses for indeterminant forms of \[1^{\infty}\]before.
Interesting problem.
Have you seen Wolfram's answer and just want another method?

Answer 2

I learned it by using the ln form first and then using the L'Hopitals Rule

Answer 3

I can only see wolfram's way, which uses the natural log trick:
http://www.wolframalpha.com/input/?i=lim+x+to+infinity+%28%281-%283%2Fx%29%29%5E%28x%29
it also involves substituting x for 1/t, then using l'Hospital.
Sorry I don't know another way :/