Consider the following in respect of the function \({\rm{f}}\left( {\rm{x}} \right) = {\rm{\;}}\left\{ {\begin{array}{*{20}{c}} {2 + {\rm{x}},{\rm{\;\;x}} \ge 0}\\ {2 - {\rm{x}},{\rm{\;\;x}} < 0} \end{array}} \right.\)1. \(\mathop {\lim }\limits_{{\rm{x}} \to 1} {\rm{f}}\left( {\rm{x}} \right)\) does not exist.2. f(x) is differentiable at x = 03. f(x) is continuous at x = 0Which of the above statement is/are correct?

Consider the following in respect of the function \({\rm{f}}\left( {\

1.	Consider the following in respect of the function \({\rm{f}}\left( {\rm{x}} \right) = {\rm{\;}}\left\{ {\begin{array}{*{20}{c}} {2 + {\rm{x}},{\rm{\;\;x}} \ge 0}\\ {2 - {\rm{x}},{\rm{\;\;x}} < 0} \end{array}} \right.\)1. \(\mathop {\lim }\limits_{{\rm{x}} \to 1} {\rm{f}}\left( {\rm{x}} \right)\) does not exist.2. f(x) is differentiable at x = 03. f(x) is continuous at x = 0Which of the above statement is/are correct?
A.	1 only
B.	3 only
C.	2 and 3 only
D.	1 and 3 only
Answer» C. 2 and 3 only

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If f(x) \( = \left\{ {\begin{array}{*{20}{c}} {\rm x;if\;x\;is\;rational}\\ { \rm- x;if\;x\;is\;irrational} \end{array}} \right.\), then which of the following statement is true:
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