Limit with integral

Calculus Level pending

\[\large \lim _{ x\to 0 }\left(1+\int _0 ^{ \sqrt { a^x-1 }}(\sin 2\arctan t) (1+t^2)^{ \ln a } \, dt \right)^{ \frac 1x} =\, ? \]

where \(a>1\) and \( x>0\).

×

Problem Loading...

Note Loading...

Set Loading...