- #1
dalterego
- 14
- 0
Homework Statement
limit x --> infinity, (1+ [(ln2)/x])^x
Homework Equations
The Attempt at a Solution
I tried raising the whole thing to e ln [function] so that the x power would get eliminated. What I've got right now is this:
e lim(x->infinity) ln([x+ln2]/2)^x
e lim(x->infinity) xln([x+ln2]/x)
e lim(x->infinity) lnx + ln2
e to the power infinity
= infinity
The limit is not infinity though its 2, I've done it several other ways, but it doesn't get me the right answer anytime.