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

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

For what value of k is the following function continuous at x=-(pi)/(6)?f(x)={(sqrt(3)sin x+cos x)/(x+(pi)/(6)), when x!=-(pi)/(6)k, whenx =(pi)/(6)

The value of lim_(x rarr(pi)/(3))(tan^(3)x-3tan x)/(cos(x+(pi)/(6)))is:

lim_(x rarr2)(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))-lim_(x rarr(pi)/(3))(tan^(3)x-3tan x)/(cos(x+(pi)/(6)))> then the greatest value of a is

lim_(x rarr(pi)/(2))(((pi)/(2)-x)sin x-2cos x)/(((pi)/(2)-x)+cot x)

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

lim_(x rarr pi/4)(sqrt(cos x)-sqrt(sin x))/(x-(pi)/(4))

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

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

The value of lim_(x rarr(pi)/(3))((tan^(3)x-3*tan x)/(cos(x+(pi)/(6))))