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Idealist Group Title

Find lim as x approaches to positive infinity for x^5/e^5x.

  • one year ago
  • one year ago

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  1. Asad0000 Group Title
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    infinity

    • one year ago
  2. Idealist Group Title
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    The answer is 0, though.

    • one year ago
  3. wio Group Title
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    This is an indeterminate form, so you need to use l'Hospital 5 times. An exponential function will beat out a polynomial eventually.

    • one year ago
  4. wio Group Title
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    Basically, the polynomial eventually will become a constant, while the exponential function will remain an exponential function. That leaves you with a constant divided by infinity... which is 0.

    • one year ago
  5. LogicalApple Group Title
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    Notice that the polynomial's 5th derivative is constant, but the denominator's derivative continues to increase.

    • one year ago
  6. Idealist Group Title
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    Thank you, guys. I didn't do up to 5th derivative, that's why I was confused.

    • one year ago
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