# Math Help - Simple derivative equation, what am I missing?

1. ## Simple derivative equation, what am I missing?

lim x to infinity - [ln(2+h) - ln 2]/h

I'm so confused because there's no x in the limit equation. The answer, by the way, is 1/2.

Please clarify how to solve the above problem. Thanks!

2. Hi

The derivative of ln(x) is 1/x therefore the derivative of ln(x) taken at x=2 is 1/2

In terms of limit you can write

$\lim_{h \rightarrow 0} \frac{\ln(2+h) - \ln(2)}{h} = \frac12$