Determining Limits Using Algebraic Manipulation

AP Calculus AB· difficulty 4/5

limx2x24x2=\displaystyle \lim_{x \to 2} \frac{x^2 - 4}{x - 2} =

  • A

    22

  • B

    Does not exist

  • C

    44

    check_circle
  • D

    00

Explanation

Factor numerator: (x2)(x+2)/(x2)=x+24(x-2)(x+2)/(x-2) = x+2 \to 4 as x2x\to 2.

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