Originally Posted by
Cotty Hi,
I have another question on limits:
lim (1+(1/x))^x
x->infinity
So i assume that I have to use L'Hopital's Rule to get to an answer
Firstly I have let y=the equation and taken the natural log of each side:
ln(y)=ln[(1/(1+(1/x)))^x]
and then made it the form:
=lim x*ln(1/(1+(1/x)))
x->infinity
=lim ln(1+(1+(1/x)))/x^-1
x->infinity
and used L'hopital to get to:
1/(1+(1/x))
Everywhere i have looked has said that the answer is that x approaches e and I have absolutely no idea how I get this solution? If you are able to give me a hand it would be greatly appreciated! Thanks, sorry it is so messy I don't know how to write it out in the way I have seen some of the answers written.