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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
∞
(
x
−
2
)
(
4
x
2
+
1
)
(
x
−
2
)
(
−
6
x
2
+
7
x
)
\displaystyle\lim_{x\to\infty}\frac{(x-2)(4x^{2}+1)}{(x-2)(-6x^{2}+7x)}
x
→
∞
lim
(
x
−
2
)
(
−
6
x
2
+
7
x
)
(
x
−
2
)
(
4
x
2
+
1
)
for
x
≠
2
x\neq2
x
=
2
. a)
−
17
10
-\dfrac{17}{10}
−
10
17
b)
2
3
\dfrac{2}{3}
3
2
c)
−
2
3
-\dfrac{2}{3}
−
3
2
d)
−
3
2
-\dfrac{3}{2}
−
2
3
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