8
Rationalised 2023-24
CONTINUITY AND DIFFERENTIABILITY
113
Case 1 Let c be a real number which is not equal to any integer It is evident from the
graph that for all real numbers close to c the value of the function is equal to [c]; i e ,
lim
( )
lim [ ]
[ ]
x
c
x
c
f x
x
c
→
=→
=