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Mathematics
Mathematics
Problem
If
P
(
x
)
P(x)
P
(
x
)
and
Q
(
x
)
Q(x)
Q
(
x
)
are polynomials with degrees
m
m
m
and
n
n
n
respectively, what is the value of
lim
x
→
∞
P
(
x
)
Q
(
x
)
\displaystyle\lim_{x\to\infty}\frac{P(x)}{Q(x)}
x
→
∞
lim
Q
(
x
)
P
(
x
)
when
m
<
n
m<n
m
<
n
? a)
leading coefficient of
P
leading coefficient of
Q
\dfrac{\text{leading coefficient of }P}{\text{leading coefficient of }Q}
leading coefficient of
Q
leading coefficient of
P
b) 0 c) 1 d)
∞
\infty
∞
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