If f(x) = , where {.} represents the fractional part function,
then
f(x) is continuous at
f(x) exists , but f is not continuous at
f(x) does not exists
f(x) =1
Continuity at a point -
A function f(x) is said to be continuous at x = a in its domain if
1. f(a) is defined : at x = a.
of f(x) at x = a exists from left and right.
-
Continuity from Left -
The function f(x) is said to be continuous from left at x = a if
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Continuity from Right -
The function f(x) is said to be continuous from right at
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L.H.L R.H.L
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