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# If f(x) = [x], where [x] denotes the integral part of x, then f(x) is continuous at all integral values of x ?

Jitender Singh IIT Delhi
6 years ago
Ans:
$f(x) = [x]$
$f(x) = 0, 0\leq x< 1$
$= 1, 1\leq x< 2$
$= 2, 2\leq x< 3$
$= 3, 3\leq x< 4$
Similarly for all the other integer values, so f(x) is discontinuous at all the integer values.
Thanks & Regards
Jitender Singh
IIT Delhi