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[" 17."lim(x rarr(pi)/(6))(3sin x-sqrt(3...

[" 17."lim_(x rarr(pi)/(6))(3sin x-sqrt(3)cos x)/(6x-pi)=],[[" 1) "sqrt(3)," 2) "(1)/(sqrt(3))," 3) "-sqrt(3)," 4) "-(1)/(sqrt(3))]]

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lim_(x rarr pi/6) ((3sinx - sqrt3 cos x)/(6x-pi)) =

lim_(x->(pi)/6)(3sinx-sqrt(3)cosx)/(6x-pi)

lim_(x to (pi)/(6)) [(3sinx - sqrt(3)cos x)/(6x -pi)] is equal to

lim_(x rarr pi/6)(sqrt(3)sin x-cos x)/(x-(pi)/(6))

lim_ (x rarr (pi) / (2)) (sin2x) / (cos x)

lim_ (x rarr (pi) / (6)) (2-sqrt (3) cos x-sin x) / ((6x-pi) ^ (2))

lim_(x rarr pi)(sin x)/(pi-x)=

lim_ (x rarr (pi) / (2)) [(6cos x) / (2x-pi)]

underset(x to pi//6)lim ((3sin x-sqrt3cosx)/(6x-pi))=