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

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

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

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

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

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

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

Lt_(x rarr1)(3sin pi x-sin3 pi x)/((x-1)^(3))=

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

The value of lim _(x to (pi)/(6)) (3 sin x- sqrt3 cos x)/(6x -pi) is equal to-