anonymous
  • anonymous
lim as x approaches 0 for f(x)=ln(x/(x-1)
Mathematics
schrodinger
  • schrodinger
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TuringTest
  • TuringTest
\[\frac{\ln x}{x-1}\]??
anonymous
  • anonymous
not quite, natural log of the entire fraction
TuringTest
  • TuringTest
\[f(x)=\ln(\frac x{x-1})\]yes?

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anonymous
  • anonymous
yep
nenadmatematika
  • nenadmatematika
-ininity
anonymous
  • anonymous
how did you get that?
TuringTest
  • TuringTest
long division\[\ln(1+\frac1{x-1})\]x goes to zero and we get\[\ln(1+(-1))=\ln 0=-\infty\]
nenadmatematika
  • nenadmatematika
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
anonymous
  • anonymous
ok that makes sense. Thank you
nenadmatematika
  • nenadmatematika
you're welcome :D

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