# How do you find the limit #lim (2x+4)/(5-3x)# as #x->oo#?

##### 2 Answers

#### Explanation:

Divide numerator and deminitator by

There are then various rules that allow you to do this, but it's also pretty intuitive:

Use L'Hôpital's rule

#### Explanation:

Given:

Because the expression evaluated at the limit is the indeterminate form,

Compute the derivative of the numerator:

Compute the derivative of the denominator:

Make a new expression:

The limit of the above expression is easy to evaluate:

The rule says that the limit of the original expression is the same: