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Mathematics
Mathematics
Problem
Evaluate
lim
h
→
0
sin
(
π
4
+
h
)
−
sin
(
π
4
)
h
\displaystyle \lim_{h\to0}\frac{\sin\bigl(\tfrac{\pi}{4}+h\bigr)-\sin\bigl(\tfrac{\pi}{4}\bigr)}{h}
h
→
0
lim
h
sin
(
4
π
+
h
)
−
sin
(
4
π
)
. a)
−
2
2
-\dfrac{\sqrt{2}}{2}
−
2
2
b)
1
2
\dfrac{1}{2}
2
1
c)
2
2
\dfrac{\sqrt{2}}{2}
2
2
d)
2
\sqrt{2}
2
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