(adsbygoogle = window.adsbygoogle || []).push({}); Find the limit, if it exists. (If an answer does not exist, enter DNE.)

lim x→−8 [ 8 − |x| OVER 8 + x ]

The attempt at a solution

First → abs(x) = -x ; x<0 / x ; x≥0

Therefore, our equation is going to look like 8 − -x OVER 8 + x

If approaching -8 from the left, I got 8 − -(-8^{-}) OVER 8 + -8^{-}

→ 0^{-}OVER 0^{-}. When dividing 0^{-}over 0^{-}you get infinity, correct?

And doing the limit as x approaches -8 from the right gave me infinity as well, thus giving the answer, that as X approaches -8, Y approaches infinity. But that's wrong. Can someone help please?

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# Homework Help: Limits of an Absolute Value

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