lim x->0 (tan 2x - sin 2x)/x^3
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limx→0 tan 2x - sin 2xx3
=limx→0 sin 2xcos 2x - sin 2xx3
=limx→0sin 2x - sin 2x . cos 2xx3 . cos 2x
=limx→0sin 2x1 - cos 2xx3 ×limx→01cos 2x
=limx→0sin 2x . 2 sin2xx3 × limx→01cos 2x
=2limx→0sin 2x2x × 2limx→0sin xx ×limx→0sin xx× limx→01cos 2x=2 × 1 × 2 × 1 × 1 × 1
=4
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