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