Calc Limit: \sqrt{x}-3/(x-9) Stuck?

[Saladsamurai]

I don't know why I am stuck on this one?

$$\lim_{x\rightarrow 9}\frac{\sqrt{x}-3}{x-9}$$

I tried multiplying by the conjugate of both the Numerator, and then the denominator. Is there another 'trick' like that?

 

[njama]

Do a little substitution. What if x=t² ?

 

[rarkup]

Try using the x² - y² = (x + y)(x - y) pattern on the denominator first.

 

[Saladsamurai]

Thanks!