Question

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

Answer 1

\[\frac{\ln x}{x-1}\]??

Answer 2

not quite, natural log of the entire fraction

Answer 3

\[f(x)=\ln(\frac x{x-1})\]yes?

Answer 4

yep

Answer 5

-ininity

Answer 6

how did you get that?

Answer 7

long division\[\ln(1+\frac1{x-1})\]x goes to zero and we get\[\ln(1+(-1))=\ln 0=-\infty\]

Answer 8

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

Answer 9

ok that makes sense. Thank you

Answer 10

you're welcome :D