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Math Help - L'Hospital Limit Problem

  1. #1
    s3a
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    L'Hospital Limit Problem

    Question:
    lim t---> 0 (5^t - 3^t)/t

    Answer:
    ln(5/3)

    My work is attached.

    Any help would be greatly appreciated!
    Thanks in advance!
    Attached Files Attached Files
    Last edited by s3a; November 29th 2009 at 09:09 AM.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by s3a View Post
    Question:
    lim t---> 0 (5^t - 3^t)/t

    Answer:
    ln(5/3)

    My work is attached.

    Any help would be greatly appreciated!
    Thanks in advance!
    I do not see your work...

    Anyway, you have the required form for using L'Hopital's rule. Apply it once to get to the answer... a property of logs comes into play... that is, how can you rewrite the subtraction of logs?
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  3. #3
    s3a
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    Lol, oops, I added it now.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by s3a View Post
    Lol, oops, I added it now.
    No, do not log both sides! Apply L'Hopital's rule right away.
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