A) \[\underset{x\to 0}{\mathop{\lim }}\,\,f(x)\]does not exist
B) \[\underset{x\to 0}{\mathop{\lim }}\,\,f(x)=1\]
C) \[\underset{x\to 0}{\mathop{\lim }}\,\,f(x)\] exist but \[f(x)\]is not continuous at \[x=0\]
D) \[f(x)\]is continuous at \[x=0\]
Correct Answer: B
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