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The value of $lim_{x \to \infty} \frac{{(\int_{0}^{x} e^{x} d x)}^{2}}{\int_{0}^{x} e^{2 x^{2}} d x}$ is

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Correct option is D

limx→∞ ∫0x exdx2∫0x e2x2dx=limx→∞ ex−12∫0x e2x2dx =limx→∞ 2ex−1exe2x2=2limx→∞ 1−e−xe2x2−2x=0

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The value of limx→∞ ∫0x exdx2∫0x e2x2dx is

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The value of $lim_{x \to \infty} \frac{{(\int_{0}^{x} e^{x} d x)}^{2}}{\int_{0}^{x} e^{2 x^{2}} d x}$ is