If f(x)= array cc [x] [x] , & [x] 0 0, & ,[x]=0 array . , where [.] denotes the greatest…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \[f(x)=\left\{\begin{array}{cc}
\frac{\sin [x]}{[x]}, & {[x] \neq 0} \\
0, & ,[x]=0
\end{array}\right.\], where [.] denotes the greatest integer function, then \(\lim _{x \rightarrow 0} f(x)\) is equal to
- 1
- 0
- -1
- Does not exist
Answer
(D) Does not exist
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