Given to prove

`tanh^(-1) x =1/2 ln((1+x)/(1-x))`

so let

`tanh^(-1) x =y`

=> `x= tanh(y)`

`x =(e^y - e^-y)/(e^y + e^-y)`

=> `(e^y + e^-y)*x = (e^y - e^-y )`

=> `xe^y...

(The entire section contains 123 words.)

## Unlock This Answer Now

Start your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.