# Finding a limit with the natural log function

1. May 5, 2008

### fiziksfun

i need help with this:

lim x->$$\infty$$ of $$\frac{ln(2+h) - ln(2)}{h}$$

i have no idea where to even begin!!
i tried resolving it, but it didn't help :[

any suggestions??

2. May 5, 2008

### Dick

That looks funny for several reasons. You've got x->infinity and there are no x's in the limit expression. If you mean h->infinity, then it still looks funny because the limit expression is a difference quotient where you usually take h->0. But if you really mean h->infinity then you can use l'Hopital's rule.

3. May 5, 2008

### HallsofIvy

Staff Emeritus
ln(a/b)= ??