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Mathematics
Mathematics
Problem
Let
k
>
0
k>0
k
>
0
be a constant. Determine
lim
x
→
∞
(
x
2
+
k
x
−
x
)
\displaystyle\lim_{x\to\infty}\left(\sqrt{x^{2}+kx}-x\right)
x
→
∞
lim
(
x
2
+
k
x
−
x
)
in terms of
k
k
k
.
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