The function is defined by f(x)= cases 5, & x 2, (x-2), & x>2

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The function ff is defined by f(x)={5,x≤2,ln⁡(x−2),x>2.f(x)= \begin{cases} 5, & x\le 2,\\ \ln(x-2), & x>2. \end{cases} Explain why lim⁡x→2f(x)\displaystyle\lim_{x\to 2} f(x) does not exist.

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