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Problem
Problem
If
lim
x
→
a
f
(
x
)
=
lim
x
→
a
[
f
(
x
)
]
\lim_{x \to a} f(x) = \lim_{x \to a} [f(x)]
lim
x
→
a
f
(
x
)
=
lim
x
→
a
[
f
(
x
)]
(
[
.
]
[. ]
[
.
]
denotes the greater integer function) and
f
(
x
)
f(x)
f
(
x
)
is non-constant continuous function, then a.
lim
x
→
a
f
(
x
)
\lim_{x \to a} f(x)
lim
x
→
a
f
(
x
)
is irrational b.
lim
x
→
a
f
(
x
)
\lim_{x \to a} f(x)
lim
x
→
a
f
(
x
)
is non-integer c.
f
(
x
)
f(x)
f
(
x
)
has local maxima at
x
=
a
x = a
x
=
a
d.
f
(
x
)
f(x)
f
(
x
)
has local minima at
x
=
a
x = a
x
=
a
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