# How do you find the limit of #[ln(6x+10)-ln(7+3x)]# as x approaches infinity?

##### 1 Answer

Nov 26, 2016

Convert to a fraction and then use L'Hôpital's rule. Answer:

#### Explanation:

Given:

Use the identity

Because the above evaluated at the limit is an indeterminate form,

Compute the derivative of numerator:

Compute the derivative of the denominator:

Make a new fraction:

This can be evaluated at

Therefore, the original limit goes to the same value: