Ariane22
contestada

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

Respuesta :

konrad509
[tex]\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[/tex]

[tex]\lim_{x\to8^-} \not =\lim_{x\to8^+} \Rightarrow[/tex] there is no two-sided limit

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