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Mathematics
Problem
Describe one algebraic manipulation that can be applied to simplify the expression
x
+
4
−
2
x
\dfrac{\sqrt{x+4}-2}{x}
x
x
+
4
−
2
near
x
=
0
x=0
x
=
0
so that its limit as
x
→
0
x\to 0
x
→
0
can be evaluated, and explain in one sentence why this manipulation removes the indeterminacy.
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