A) \[\underset{x\to 0+}{\mathop{\lim }}\,f(x)\ne 0\]
B) \[\underset{x\to 0-}{\mathop{\lim }}\,f(x)\ne 0\]
C) \[f(x)\]is continuous at\[x=0\]
D) None of these
Correct Answer: C
Solution :
\[\underset{x\to 0}{\mathop{\lim }}\,\,\,f(x)={{\sin }^{-1}}(0)=0\] and \[f(0)=0\] Hence \[f(x)\] is continuous at \[x=0.\]You need to login to perform this action.
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