# Thread: Help with evaluating limits of exponents and logs

1. ## Help with evaluating limits of exponents and logs

Could someone help with evaluating limits of e and ln. The manual I have does a pitiful job explaining this.

For example, the question is

evaluate

lim ln (x-2)
x->2+

Thanks!

2. Originally Posted by Meeklo Braca
Could someone help with evaluating limits of e and ln. The manual I have does a pitiful job explaining this.

For example, the question is

evaluate

lim ln (x-2)
x->2+

Thanks!
let $y = x - 2$, then as $x \to 2^+$ we have $y \to 0^+$. and so your limit becomes

$\lim_{y \to 0^+} \ln y$

which you should know. think of what the graph of the natural log looks like