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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
0
2
x
−
sin
2
x
x
(
1
−
cos
x
)
\displaystyle \lim_{x\to 0} \dfrac{2x-\sin 2x}{x(1-\cos x)}
x
→
0
lim
x
(
1
−
cos
x
)
2
x
−
sin
2
x
. a) 0 b) \dfrac{8}{3} c) The limit does not exist. d) \dfrac{4}{3}
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