The function

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

Problem

The function

f(x) = \{x\} \sin(\pi[x])

, where

[\cdot]

denotes the greatest integer function and

\{\cdot\}

is the fractional part function, is discontinuous at (a) all

x

(b) all integer points (c) no

x

(d)

x

which is not an integer