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Mathematics
Mathematics
Problem
Identify the type of discontinuity present at
x
=
a
x=a
x
=
a
for a function
f
f
f
if
lim
x
→
a
f
(
x
)
\displaystyle \lim_{x\to a}f(x)
x
→
a
lim
f
(
x
)
exists and is finite but either
f
(
a
)
f(a)
f
(
a
)
is not defined or
f
(
a
)
≠
lim
x
→
a
f
(
x
)
f(a)\neq\displaystyle\lim_{x\to a}f(x)
f
(
a
)
=
x
→
a
lim
f
(
x
)
.
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