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Ariane22
Ariane22 Ariane22
  • 29-08-2015
  • Mathematics
Answered

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

Verified Answer :

konrad509
konrad509 konrad509
  • 30-08-2015

\(\lim_{x\to8} \left\{\begin{array}{cc}x+10&x\ \textless \ 8\\10-x&x\geq8\end{array}\right\\\\ \lim_{x\to8^-} x+10=8+10=18\\ \lim_{x\to8^+} 10-x=10-8=2\)

\(\lim_{x\to8^-} ot =\lim_{x\to8^+} \Rightarrow\) there is no two-sided limit

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