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Limits Continuity and Differentiability question

2017 · Shift 1 · Q23

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PYQ Library
JEE Advanced
Mathematics
Limits Continuity and Differentiability
2017 · Shift 1 · Q23

Limits Continuity and Differentiability question

2017 · Shift 1 · Q23

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityMultiple correct+4 / −1

Let [x] be the greatest integer less than or equals to x. Then, at which of the following point(s) the function

f(x) = x\cos (\pi (x + [x]))

is discontinuous?

A
x = $-$ 1
B
x = 1
C
x = 0
D
x = 2

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