The function f x = x sin π x , where [.] denotes the greatest integer function and {.} is the fractional part function, is discontinuous at

Question

The function f x = x sin π x , where [.] denotes the greatest integer function and {.} is the fractional part function, is discontinuous at, all x, all integer points, no x, x which is not an integer

MARKS App · Accepted Answer

f x = x sin π x = x sin (integral multiple of π ) = 0 Hence, f ( x ) is continuous for all x .

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