For the function

MATHEMATICS · Multi-part · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For the function f(x)=5x−4f(x)=5x-4, answer the following: (a) Calculate lim⁡x→2−f(x)\displaystyle\lim_{x\to 2^-}f(x). (b) Calculate lim⁡x→2+f(x)\displaystyle\lim_{x\to 2^+}f(x). (c) Hence, comment on the existence of lim⁡x→2f(x)\displaystyle\lim_{x\to 2}f(x). (Answer in one sentence.)

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