Continuity and DifferentiabilityHard
Question
If f(x) 
where [x] denotes the greatest integest less than or equal to x, then
f(x) equals
where [x] denotes the greatest integest less than or equal to x, then
f(x) equalsOptions
A.1
B.0
C.- 1
D.None of these
Solution
Since, f(x)
⇒ f(x)
At x = 0
RHL =
0 = 0
and LHL
Since, RHL ≠ LHL
∴ Limit does not exist.
⇒ f(x)
At x = 0
RHL =
0 = 0and LHL
Since, RHL ≠ LHL
∴ Limit does not exist.
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