Determining Limits Using Algebraic Properties

AP Calculus AB· difficulty 2/5

Evaluate limx0ex1x\displaystyle\lim_{x\to 0}\dfrac{e^x - 1}{x}.

  • A

    Does not exist

  • B

    ee

  • C

    00

  • D

    11

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Explanation

Standard limit (this is f(0)f'(0) for f(x)=exf(x) = e^x): equals 11.

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