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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

Answer

[tex]\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[/tex] lim_ x to8 - ot = lim_ x to8 + Rightarrow there is no two-sided limit

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Virtual Teaching Assistant: John B.
Question Level: Basic
Karma: Free
Upload Date: 5/31/2017

This 47 words question was answered by John B. on StudySoup on 5/31/2017. The question contains content related to Math Since its upload, it has received 143 views.

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