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Mathematics
Mathematics
Problem
Determine
lim
x
→
0
sin
(
π
4
+
3
x
)
−
sin
(
π
4
)
x
\displaystyle \lim_{x\to 0} \dfrac{\sin\!\left(\tfrac{\pi}{4}+3x\right)-\sin\!\left(\tfrac{\pi}{4}\right)}{x}
x
→
0
lim
x
sin
(
4
π
+
3
x
)
−
sin
(
4
π
)
. a)
3
3
3
b)
3
2
2
\dfrac{3\sqrt{2}}{2}
2
3
2
c)
−
3
2
2
-\dfrac{3\sqrt{2}}{2}
−
2
3
2
d)
2
2
\dfrac{\sqrt{2}}{2}
2
2
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