$$\mathop {\lim }\limits_{x \to 0} {\left( {{{{{(x + 2\cos x)}^3} + 2{{(x + 2\cos x)}^2} + 3\sin (x + 2\cos x)} \over {{{(x + 2)}^3} + 2{{(x + 2)}^2} + 3\sin (x + 2)}}} \right)^{{{100} \over x}}}$$ এর মান হবে ______________।