Mathematics - Parabola Question with Solution | TestHub

Let $f(x)={\lim }_{n\to \infty }\frac{3^n\sin x+(\sqrt{2}\cos x+2{)}^n+2^n\cos x}{3^n+\cos x(\sqrt{2}\cos x+2{)}^n}$, then the value of ${\left({\lim }_{x\to \frac{{\pi }^{-}}{4}}f(x)\right)}^4$ is equal to $\_\_\_\_$