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Calculus

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Evaluate the following limits.

lim as x approaches infinity 6/e^x + 7=____?

lim as x approaches negative infinity 6/e^x+7=____?

  • Calculus - ,

    for the first
    as x gets larger, 6/e^x gets closer to zero
    so the limit is 0+7 = 7

    for the second, remember that 1/a^-n = a^n

    so for huge negative values of x, 6/e^x becomes "huge"
    so for the second, it is undefined (infinitely large)

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