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Math Help - I'm stumped about solving limits at infinity

  1. #1
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    I'm stumped about solving limits at infinity

    I don't see how any of the rules about the powers in the numerator and the denominator would apply to this problem:

    limit (as x approaches infinity) of x / e^x

    The power of the numerator is 1, but how does one evaluate the power of the denominator if it is a variable?

    Thanks again for any support. This forum is great.
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  2. #2
    Junior Member
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    Quote Originally Posted by aliveiam View Post
    I don't see how any of the rules about the powers in the numerator and the denominator would apply to this problem:

    limit (as x approaches infinity) of x / e^x

    The power of the numerator is 1, but how does one evaluate the power of the denominator if it is a variable?

    Thanks again for any support. This forum is great.
    Have u heard of L"Hospitals Rule for limits? The limit (as x approaches infinity) of x is infinity and the limit of e^x ( as x approaches infinity) is also zero. So this limit is infinity/infinity...which is where you use L'Hospitals Rule (which in this case look at the powers in both numerator & denominator)
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