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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
0
1
+
sin
x
−
1
x
.
\displaystyle \lim_{x\to 0} \frac{\sqrt{1+\sin x}-1}{x}.
x
→
0
lim
x
1
+
sin
x
−
1
.
a)
0
0
0
b)
1
4
\dfrac14
4
1
c)
1
2
\dfrac12
2
1
d)
1
1
1
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