# Thread: Finding the Limit by Interpreting an Expression as an Appropriate derivative

1. ## Finding the Limit by Interpreting an Expression as an Appropriate derivative

Solved!

2. f '(a) = lim [f(a+h)-f(a)]/h

For yur problem note:

ln[(3+h)/3] = ln(3+h) - ln(3)

you have lim [ln(3+h) - ln(3)]/h

What are f(x) and a?

3. Oh Right! Properties of the natural log : dividing turns into subtracting.

'a' would be equal to 3 and the function be ln(x)?

Then would I solve the derivative of ln(x) to get l/x, then plug in 3 for x?

4. you got it

5. So when it says find the derivative, then answer would be 1/3.

I just had to recognize the fact the I could change the ln function into the definition of a derivative. Thank you Sir!