If f x = sin [ x ] [ x ] , [ x ] ≠ 0 0 , [ x ] = 0 , where x denotes the greatest integer less than or equal to x , then lim x → 0 - f x

Question

If f x = sin [ x ] [ x ] , [ x ] ≠ 0 0 , [ x ] = 0 , where x denotes the greatest integer less than or equal to x , then lim x → 0 - f x, exist and equal to 1, exist and equal to sin 1, exist and equal to - sin 1, Does not exist

MARKS App · Accepted Answer

lim x → 0 - f x = lim x → 0 - sin x x = sin - 1 - 1 , as x = - 1 , x ∈ - 1 , 0 = sin 1

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