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Mathematics
Problem
Evaluate:
lim
x
→
∞
[
a
2
x
2
+
a
x
+
1
−
a
2
x
2
+
1
]
\lim_{x \rightarrow \infty} \left[ \sqrt{a^2 x^2 + ax + 1} - \sqrt{a^2 x^2 + 1} \right]
x
→
∞
lim
[
a
2
x
2
+
a
x
+
1
−
a
2
x
2
+
1
]
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