Which of the following is/are signified by
lim
x
→
a
f
(
x
)
=
∞
\displaystyle \lim_{{{x}\rightarrow{a}}}{f{{\left({x}\right)}}}=\infty
x
→
a
lim
f
(
x
)
=
∞
?
The value of
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
becomes infinite when
x
\displaystyle {x}
x
approaches
a
\displaystyle {a}
a
.
The limit exists and equals infinity.
As
x
\displaystyle {x}
x
approaches
a
\displaystyle {a}
a
, the value of
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
increases without bound.
This means that
f
(
a
)
=
∞
\displaystyle {f{{\left({a}\right)}}}=\infty
f
(
a
)
=
∞
The value of
x
\displaystyle {x}
x
goes out to infinity, when it gets close to
a
\displaystyle {a}
a
.
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