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Determining Limits Using Algebraic Properties

AP Calculus AB· difficulty 2/5

Given lim⁡x→af(x)=3\lim_{x\to a} f(x) = 3 and lim⁡x→ag(x)=−2\lim_{x\to a} g(x) = -2, what is lim⁡x→a[f(x)g(x)+5]\lim_{x\to a}\bigl[f(x) g(x) + 5\bigr]?

  • A

    11

  • B

    1111

  • C

    −6-6

  • D

    −1-1

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Explanation

Limit of product/sum: (3)(−2)+5=−6+5=−1(3)(-2) + 5 = -6 + 5 = -1.

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