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Mathematics
Mathematics
Problem
For a function
g
g
g
, it is known that
lim
x
→
5
g
(
x
)
=
7
\displaystyle \lim_{x\to5} g(x)=7
x
→
5
lim
g
(
x
)
=
7
but
g
(
5
)
g(5)
g
(
5
)
is not defined. What type of discontinuity does
g
g
g
have at
x
=
5
x=5
x
=
5
? a)
Infinite discontinuity
\text{Infinite discontinuity}
Infinite discontinuity
b)
No discontinuity
\text{No discontinuity}
No discontinuity
c)
Removable (point) discontinuity
\text{Removable (point) discontinuity}
Removable (point) discontinuity
d)
Jump discontinuity
\text{Jump discontinuity}
Jump discontinuity
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