Let denote the greatest integer less than or equal to

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

[t]

denote the greatest integer less than or equal to

t

. The number of points at which the function

f(x)=[x]x^2-1+\sin\left(\frac{\pi}{[x]+3}\right)-[x+1],\qquad x\in(-2,2)

is discontinuous is: (a)

1

(b)

2

(c)

4

(d)

3