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Question

limx sin xx equals

(a) 0
(b) ∞
(c) 1
(d) does not exist

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Solution

(a)
limx sin xxLet x=1y x y0=limy0 sin 1y1y=limy0 y sin 1y=limy0 y×limy0sin 1y=0×limy0sin 1y=0

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