(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

limit x --> infinity, (1+ [(ln2)/x])^x

2. Relevant equations

3. 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.

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# Homework Help: Limits of a function containing ln an raised to a power

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