Problem Calculating a limit with a square root, i'm stuck

[Jordash]

Problem Calculating a limit with a square root, I'm stuck :(

Homework Statement

The limit is equation 9-t / 3-sqrt(t) as t approaches 9

I'm stuck on the how to simplify this?

Thanks for any help.

Homework Equations

The Attempt at a Solution

 

[rock.freak667]

Try multiplying by (3+√t)/(3+√t)

 

[Jordash]

I discovered that that is the conjugate and I came out with this:

27-6sqrt(t)-tsqrt(t)
----------------
9-t

So in other words, that limit does not exist. Is that right?

 

[Mark44]

The limit does exist. Instead of multiplying by the conjugate over itself, just factor the numerator, treating it as the difference of two squares.