2017FunctionHard

Question

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(π(x + [x])) is discontinuous ?

Options

A.

x = -1

B.

x = 0

C.

x = 2

D.

x = 1

Solution

Discontinuous at x = - 1, 1, 2

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