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Mathematics
Mathematics
Problem
If
lim
x
→
∞
(
a
2
x
2
+
x
+
1
−
b
x
)
=
2
(
a
,
b
∈
R
)
\lim_{x \rightarrow \infty} (a\sqrt{2x^2+x+1} - bx) = 2(a, b \in R)
lim
x
→
∞
(
a
2
x
2
+
x
+
1
−
b
x
)
=
2
(
a
,
b
∈
R
)
then the value of
(
a
2
+
b
2
)
(a^2 + b^2)
(
a
2
+
b
2
)
equals (a) 32 (b) 48 (c) 64 (d) 96
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