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limit (x->0 ( sin 7x + tan 3x - sin 5x) / (sin 9x - tan 3x - sin x)
limit (x->0) x { sin 7x /x + tan 3x/x - sin 5x/x) / x(sin 9x/x - tan 3x/x - sin x/x)}
= x (7x/x + 3x/x - 5x/x) /x (9x/x - 3x/x - x/x)
= x (7+3-5)/ x(9-3-1)
= x(5)/ x(5)
= 1
3) limi (x->0) sin³ x/ tan³ x =
= limi (x->0) {(sin x)/(tan x)}³ = (x/x)³ = 1