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Mathematics
Mathematics
Problem
State the continuity of the function
f
(
x
)
=
⌊
x
⌋
−
⌊
x
−
1
2
⌋
f(x)=\lfloor x\rfloor-\lfloor x-\tfrac12\rfloor
f
(
x
)
=
⌊
x
⌋
−
⌊
x
−
2
1
⌋
at the following points: a. (i)
x
=
1
x=1
x
=
1
b. (ii)
x
=
3
2
x=\dfrac32
x
=
2
3
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