Find the limit: lim (5x^2+8x-2)/(2x^2+7x-3)
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Step-by-step explanation:
I learned and am still most comfortable with description 3).
3
x
2
−
8
x
+
1
2
−
7
x
2
=
x
2
(
3
−
8
x
+
1
x
2
)
x
2
(
2
x
2
−
7
)
=
x
2
(
3
−
8
x
+
1
x
2
)
x
2
(
2
x
2
−
7
)
lim
x
→
∞
3
x
2
−
8
x
+
1
2
−
7
x
2
=
lim
x
→
∞
3
−
8
x
+
1
x
2
2
x
2
−
7
=
3
−
0
+
0
0
−
7
=
−
3
7
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