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Question Number 32045 by abdo imad last updated on 18/Mar/18
find lim_(n→∞) ∫_0 ^∞ e^(−t) sin^n t dt .
$${find}\:{lim}_{{n}\rightarrow\infty} \:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{t}} \:{sin}^{{n}} {t}\:{dt}\:\:. \\ $$

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