For a function

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For a function ff, the following are known: lim⁡x→2−f(x)=3,lim⁡x→2+f(x)=5,f(2)=4.\displaystyle\lim_{x\to 2^-}f(x)=3,\qquad \lim_{x\to 2^+}f(x)=5,\qquad f(2)=4. Identify the type of discontinuity at x=2x=2. (a) Infinite discontinuity (b) Jump discontinuity (c) Removable discontinuity (d) No discontinuity

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