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anonymous

  • 4 years ago

lim as x approaches 0 for f(x)=ln(x/(x-1)

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  1. TuringTest
    • 4 years ago
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    \[\frac{\ln x}{x-1}\]??

  2. anonymous
    • 4 years ago
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    not quite, natural log of the entire fraction

  3. TuringTest
    • 4 years ago
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    \[f(x)=\ln(\frac x{x-1})\]yes?

  4. anonymous
    • 4 years ago
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    yep

  5. nenadmatematika
    • 4 years ago
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    -ininity

  6. anonymous
    • 4 years ago
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    how did you get that?

  7. TuringTest
    • 4 years ago
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    long division\[\ln(1+\frac1{x-1})\]x goes to zero and we get\[\ln(1+(-1))=\ln 0=-\infty\]

  8. nenadmatematika
    • 4 years ago
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    ln is continous, so lim and ln can change places, so when you do that, and than plug in x=0 you get ln0 which is the result turing test wrote

  9. anonymous
    • 4 years ago
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    ok that makes sense. Thank you

  10. nenadmatematika
    • 4 years ago
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    you're welcome :D

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