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Mathematics
tanh -1x is equal to
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Q. $ {{\tanh }^{-1}}x $ is equal to
Rajasthan PET
Rajasthan PET 2004
A
$ 2\log \frac{1-x}{1+x} $
B
$ 2\log \frac{1+x}{1-x} $
C
$ \frac{1}{2}\log \frac{1+x}{1-x} $
D
$ \frac{1}{2}\log \frac{1-x}{1+x} $
Solution:
$ {{\tanh }^{-1}}x=\frac{1}{2}\log \frac{1+x}{1-x} $