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Mathematics
Mathematics
Problem
Determine
lim
x
→
0
x
2
(
1
+
x
−
1
)
1
−
cos
x
\displaystyle \lim_{x\to 0}\frac{x^{2}\bigl(\sqrt{1+x}-1\bigr)}{1-\cos x}
x
→
0
lim
1
−
cos
x
x
2
(
1
+
x
−
1
)
.
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