sinh-1-ln-x-x-2-1-

Question Number 90024 by Rio Michael last updated on 20/Apr/20

\sinh^{- 1} [\ln (x + \sqrt{x^{2} + 1})] = ?

Commented by Rio Michael last updated on 21/Apr/20

really sir,

how about \lim_{x \to 0} \sinh (\ln (x + \sqrt{x^{2} + 1})

Commented by MJS last updated on 21/Apr/20

\sinh (\ln (x + \sqrt{x^{2} + 1})) = x

\Rightarrow \ln (x + \sqrt{x^{2} + 1}) = \sinh^{- 1} x

\sinh^{- 1} (\sinh^{- 1} x) cannot be simplified

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