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Mathematics
Problem
Which type of discontinuity is encountered at
x
=
a
x=a
x
=
a
for the rational function
f
(
x
)
=
p
(
x
)
q
(
x
)
f(x)=\dfrac{p(x)}{q(x)}
f
(
x
)
=
q
(
x
)
p
(
x
)
if
p
p
p
and
q
q
q
are polynomials,
q
(
a
)
=
0
q(a)=0
q
(
a
)
=
0
, and
p
(
a
)
≠
0
p(a)\neq0
p
(
a
)
=
0
? a) Jump discontinuity b) Infinite discontinuity c) The function is continuous d) Removable discontinuity
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