\[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{100}}}{{{e}^{x}}}+{{\left( \cos \frac{2}{x} \right)}^{{{x}^{2}}}} \right)=\]

\[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{100}}}{{

1.	\[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{100}}}{{{e}^{x}}}+{{\left( \cos \frac{2}{x} \right)}^{{{x}^{2}}}} \right)=\]
A.	\[{{e}^{-1}}\]
B.	\[{{e}^{-4}}\]
C.	\[(1+{{e}^{-2}})\]
D.	\[{{e}^{-2}}\]
Answer» E.

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\[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{100}}}{{{e}^{x}}}+{{\left( \cos \frac{2}{x} \right)}^{{{x}^{2}}}} \right)=\]

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