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# Find the indicated limit, if it exists.

## limit of f of x as x approaches 8 where f of x equals x plus 10 whe...

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### Find the indicated limit, if it exists.

limit of f of x as x approaches 8 where f of x equals x plus 10 when x is less than 8 and f of x equals 10 minus x when x is greater than or equal to 8

$$\lim_{x\to8} \left\{\begin{array}{cc}x+10&x\ \textless \ 8\\10-x&x\geq8\end{array} ight\\\\ \lim_{x\to8^-} x+10=8+10=18\\ \lim_{x\to8^+} 10-x=10-8=2$$ there is no two-sided limit