Answer
$0$
Work Step by Step
$\lim\limits_{x \to \infty}e^{-x^{2}}=\lim\limits_{x \to \infty}\frac{1}{e^{-x^{2}}}$
$=\frac{1}{e^{\infty}}=\frac{1}{\infty}$
Hence, $\lim\limits_{x \to \infty}e^{-x^{2}}=0$
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