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Thread: Indeterminate forms help

  1. February 22nd 2010, 09:10 AM #1
    stickyMATH
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    Indeterminate forms help

    Can someone help me with these problems?

    lim x->0^+ 3sin(x)ln(x)

    lim x-> INF (1+11/x)^(x/3)

    lim x-> 0 [(1/7x) - ( 1/(e^(7x) - 1) )]

    Thanks.
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  2. February 22nd 2010, 12:30 PM #2
    maddas
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    edit:Redacted.

    Replace x with 3x, so you obtain \lim_{x\to \infty} (1 + 11/3x)^{x}. Now remember how the limit of (1+x/n)^n is related to e^x...
    Last edited by maddas; February 22nd 2010 at 12:46 PM.
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