If f(x) = {{:("sin"(pix)/(2)",",x lt 1),...

If `f(x) = {{:("sin"(pix)/(2)",",x lt 1),([x]",",x ge 1):}`, where [x] denotes the greatest integer function, then

f(x) is continuous at x = 1

f(x) is discontinuous at x = 1

`f(1^(+)) = 0`

`f(1^(-)) = -1`

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