Let f : R → R be defined as f(x) = \\begin{array}{cc}0 & \x \is \irrational\ \sin|x|\end{array},\x \is \rational Then which of the following is true ?

Correct Answer is : f is continuous at x = kπ, where k is an integer

f is discontinuous at x = kπ, where k is an integer

f is continuous at x = kπ, where k is an integer

WBJEE 2015 Math Solved Paper

Question : 8 of 80

Marks: +1, -0

Let f : R → R be defined as f(x) = {

0	x‌is‌irrational
sin\|x\|	x‌is‌rational

Then which of the following is true ?

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