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Math Help - Quick limit question

  1. #1
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    Quick limit question

    I'm working on an improper integral problem and have come down to a part I don't quite understand. The solutions manual shows....

    \lim \ln|\frac{b-1}{b+1}| = \ln 1
    The limit is being evaluated as b approaches neg. infinity.

    I'm having a hard time seeing how this equates and any help would be much appreciated.

    Thanks!
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  2. #2
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    Quote Originally Posted by shawnbuck View Post
    I'm working on an improper integral problem and have come down to a part I don't quite understand. The solutions manual shows....

    \lim \ln|\frac{b-1}{b+1}| = \ln 1
    The limit is being evaluated as b approaches neg. infinity.

    I'm having a hard time seeing how this equates and any help would be much appreciated.

    Thanks!
    \frac{b - 1}{b + 1} = \frac{b + 1 - 2}{b + 1}

     = 1 - \frac{2}{b + 1}.


    What happens as  b \to -\infty?
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  3. #3
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    The second term approaches 0.

    Thanks for the help.
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