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Mathematics
Problem
Explain why
f
(
x
)
=
x
(
1
+
1
x
−
1
)
f(x)=x\left(\sqrt{1+\frac{1}{x}}-1\right)
f
(
x
)
=
x
(
1
+
x
1
−
1
)
approaches a finite limit as
x
→
∞
x\to\infty
x
→
∞
, and state that limit.
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