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# FIND the following limit:((x^2)-x-2)/((x^2)+(4x)-12), when x-->2+?

Update:

yES, THANKS, i DID IT AND GOT THE SAME ANSWER

Update 2:

yES, THANKS, i DID IT AND GOT THE SAME ANSWER

### 1 Answer

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- 9 years agoFavorite Answer
If you substitute x = 2, you get 0 / 0 = an "indeterminacy"...

Try (i) factoring, and then (ii) substituting x = 2:

(x^2 - x - 2) / (x^2 + 4x - 12) = { (x-2)(x+1) } / { (x-2)(x+6) } = (x+1) / (x+6) ... now sub'ing x=2 will give us 3 / 8 as the answer.

Hope that helps, thanks.

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