Limits, Continuity and Differentiability Part 1

Section: Mathematics

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Question : 30 of 100

Marks: +1, -0

If f(x)=[x]−[

x

4

],x∊R , where [x] denotes the greatest integer function, then:

[9 Apr 2019 Shift 2]

Both
lim
x→4−
f(x) and
lim
x→4+
f(x) exist but are not equal
f is continous at x = 4
lim
x→4−
f(x)exist but
lim
x→4+
f(x) does not exist
lim
x→4+
f(x) exist but
lim
x→4−
f(x) does not exist

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