Continuity and Discontinuity

AP Calculus AB· difficulty 2/5

The graph has limx1f=2\lim_{x\to 1^-} f = 2, limx1+f=4\lim_{x\to 1^+} f = 4, f(1)=4f(1) = 4. Which is true?

  • A

    limx1f\lim_{x\to 1} f does not exist (jump)

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  • B

    limx1f\lim_{x\to 1} f exists

  • C

    ff is undefined at 11

  • D

    ff is continuous at 11

Explanation

Left and right one-sided limits differ → two-sided limit DNE.

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