How to solve a limit with a denominator of x - 36?

[Jan Hill]

Homework Statement

How do you solve the following the limit as x approaches 36 of numerator = (square root of x) - 6 and numerator x - 36

Homework Equations

The Attempt at a Solution

We can't just substitute in x = 36 because then the denominator will be 0 and the expression will be undefined. Do we multiply by the reciprocal of the numerator?

 

[danago]

Homework Statement

How do you solve the following the limit as x approaches 36 of numerator = (square root of x) - 6 and numerator x - 36

Homework Equations

The Attempt at a Solution

We can't just substitute in x = 36 because then the denominator will be 0 and the expression will be undefined. Do we multiply by the reciprocal of the numerator?

Im guessing you mean denominator x - 36?

If so, then try multiplying by

<br /> \frac{{\sqrt x + 6}}{{\sqrt x + 6}}<br />