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Mathematics
Mathematics
Problem
Determine
lim
x
→
0
1
+
1
+
x
−
2
x
\displaystyle \lim_{x\to 0}\frac{\sqrt{1+\sqrt{1+x}}-\sqrt{2}}{x}
x
→
0
lim
x
1
+
1
+
x
−
2
. a)
1
2
2
\dfrac{1}{2\sqrt{2}}
2
2
1
b)
1
4
2
\dfrac{1}{4\sqrt{2}}
4
2
1
c)
1
8
2
\dfrac{1}{8\sqrt{2}}
8
2
1
d)
1
4
\dfrac14
4
1
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