Question

plz prove log(1+x)/(1-x) an odd function

Answer 1

I dont think it is :|

Answer 2

odd function is if -f(x)=f(-x)
this if f(-x)=log(1-x)/(1+x)=-f(x)

Answer 3

so it is odd function isn't it

Answer 4

\[f(x)=\ln(1+x)-\ln(1-x)\]

Answer 5

you are saying that (1-x)/ (1+x) = - [ (1+x) / (1-x) ]

Answer 6

replace x by -x to get
\[f(-x)=\ln(1-x)-\ln(1+x)=-(\ln(1+x)-\ln(1-x))\] so odd