1.

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:

A. f(x) is an odd function
B. f(x) is continuous at \(x = \frac 1 2\)
C. f(x) is continuous at x = 0
D. f(x) is a periodic function
Answer» B. f(x) is continuous at \(x = \frac 1 2\)


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