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

  • Thread starter Jordash
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  • #1
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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

 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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Try multiplying by (3+√t)/(3+√t)
 
  • #3
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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?
 
  • #4
33,724
5,419


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

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