Consider the polynomial function
f
(
n
)
=
n
9
+
5
n
8
−
2
n
2
−
3
\displaystyle {f{{\left({n}\right)}}}={n}^{{9}}+{5}{n}^{{8}}-{2}{n}^{{2}}-{3}
f
(
n
)
=
n
9
+
5
n
8
−
2
n
2
−
3
.
As
n
→
−
∞
\displaystyle {n}\to-\infty
n
→
−
∞
,
f
(
n
)
→
\displaystyle {f{{\left({n}\right)}}}\to
f
(
n
)
→
?
∞
-∞
As
n
→
∞
\displaystyle {n}\to\infty
n
→
∞
,
f
(
n
)
→
\displaystyle {f{{\left({n}\right)}}}\to
f
(
n
)
→
?
∞
-∞
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