another question on limits

another question on limits

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\[\lim_{x \rightarrow \infty} (\int\limits_{0}^{x}e ^{x}dx)^{2}/\int\limits_{0}^{x}e ^{2x ^{2}}dx\]

If you could show that the limit of the denominator goes to infinity, you could apply L'Hopital's.

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