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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
0
+
1
+
x
−
1
x
.
\displaystyle \lim_{x\to 0^+} \frac{\sqrt{1+\sqrt{x}}-1}{\sqrt{x}}.
x
→
0
+
lim
x
1
+
x
−
1
.
a)
1
2
\dfrac12
2
1
b)
0
0
0
c)
1
1
1
d) The limit does not exist
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