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Mathematics
Problem
Determine
lim
x
→
0
1
+
sin
x
−
1
x
\displaystyle \lim_{x\to 0}\dfrac{\sqrt{1+\sin x}-1}{x}
x
→
0
lim
x
1
+
sin
x
−
1
. a) 0 b) \dfrac14 c) 1 d) \dfrac12
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