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Determining Limits Using Algebraic Properties

AP Calculus AB· difficulty 1/5

Evaluate lim⁡x→1x2+32x−1\displaystyle\lim_{x\to 1}\dfrac{x^2 + 3}{2x - 1}.

  • A

    44

    check_circle
  • B

    22

  • C

    33

  • D

    55

Explanation

Both top and bottom continuous at x=1x = 1 (denominator ≠0\ne 0): (1+3)/(2−1)=4/1=4(1 + 3)/(2 - 1) = 4/1 = 4.

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