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Mathematics
Mathematics
Problem
State the condition on the denominator
q
(
x
)
q(x)
q
(
x
)
under which
lim
x
→
a
p
(
x
)
q
(
x
)
=
p
(
a
)
q
(
a
)
\lim_{x\to a}\frac{p(x)}{q(x)}=\frac{p(a)}{q(a)}
x
→
a
lim
q
(
x
)
p
(
x
)
=
q
(
a
)
p
(
a
)
for a rational function
p
(
x
)
q
(
x
)
\dfrac{p(x)}{q(x)}
q
(
x
)
p
(
x
)
.
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