If fx=sinxx,x≠00,x=0, where [.] denotes the greatest integer functio – InterviewSolution

1.	If fx=sinxx,x≠00,x=0, where [.] denotes the greatest integer function, then limx→0fx is equal to(a) 1 (b) 0 (c) −1 (d) does not exist
Answer» If $f (x) = \{\begin{cases} \frac{\sin [x]}{[x]}, & [x] \neq 0 \\ 0, & [x] = 0 \end{cases}$ , where [.] denotes the greatest integer function, then $\lim_{x \to 0} f (x)$ is equal to (a) 1 (b) 0 (c) −1 (d) does not exist

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