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Math Help - L'hospital's Rule

  1. #1
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    L'hospital's Rule

    I'm supposed to be finding the limit of a function using L'hospital's Rule but with this limit:

    limit (as x goes to infinity) of (e^x)/(x^3)

    I just can't see how L'hospital's Rule applies since the numerator is going to infinity while the denominator is going to zero But the answer in the back of the book is infinity, so i think I'm looking at it wrong. Can someone explain to me how L'hospital's Rule applies?
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  2. #2
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    Quote Originally Posted by mlckb1 View Post
    I'm supposed to be finding the limit of a function using L'hospital's Rule but with this limit:

    limit (as x goes to infinity) of (e^x)/(x^3)

    I just can't see how L'hospital's Rule applies since the numerator is going to infinity while the denominator is going to zero But the answer in the back of the book is infinity, so i think I'm looking at it wrong. Can someone explain to me how L'hospital's Rule applies?
    try again ... as x \to \infty , x^3 \to \, ?
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  3. #3
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    Quote Originally Posted by skeeter View Post
    try again ... as x \to \infty , x^3 \to \, ?
    Oh i see it now thank you!
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