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Babyslapmafro

  • 3 years ago

True or false? L'Hopital's rule does not apply to the following function (click to see).

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  1. Babyslapmafro
    • 3 years ago
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    \[\lim_{x \rightarrow -\infty}\frac{ lnx}{ x} \]

  2. Babyslapmafro
    • 3 years ago
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    lnx is undefined if x<0 right, so my guess is that the statement is true...

  3. KingGeorge
    • 3 years ago
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    I think you're correct. Since the natural log is undefined for negative numbers, the limit as x goes to -infinity of ln(x) is undefined, so you can't use L'hopitals.

  4. Babyslapmafro
    • 3 years ago
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    ok thank you

  5. KingGeorge
    • 3 years ago
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    You're welcome.

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