school
Acemy

Determining Limits Using Algebraic Manipulation

AP Calculus AB· difficulty 2/5

Evaluate lim⁡x→2x2−4x−2\displaystyle\lim_{x \to 2}\dfrac{x^2 - 4}{x - 2}.

  • A

    44

    check_circle
  • B

    22

  • C

    Does not exist

  • D

    00

Explanation

Factor the numerator: (x−2)(x+2)/(x−2)=x+2(x-2)(x+2)/(x-2) = x + 2 for x≠2x \ne 2. The limit is 2+2=42 + 2 = 4.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode