Problem :
Find the range of function $f\left( x \right) =\cos \left( \sin \left( \ln \left( \frac{x^2+e}{x^2+1} \right) \right) \right) +\sin \left( \cos \left( \ln \left( \frac{x^2+e}{x^2+1} \right) \right) \right) $
My approach :
maximum value of the function is when denominator term is minimum i.e. $x^2+1$ is minimum.
It is minimum when $x^2 =0$ therefore, maximum value of function $\cos(\sin(\ln e))+\sin(\cos(\ln e))$
$\cos(\sin(1))+\sin(\cos(1))$ now how to find the minimum value of the function please suggest . Thanks...