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1 = cos² 2x + sin² 2x -
____________________
cos 4x - 1 = -2.sin² 2x
lim (cos 4x - 1)/(x.tan x)
x-> 0
= lim (-2.sin² 2x)/(x.tan x)
x -> 0
= lim (-2).((sin 2x)/x).((sin 2x)/(tan x)
x -> 0
= (-2).(2).(2)
= -8