lim_(x rarr pi/3)(sqrt(3)-tan x)/(pi-3x)

Evaluate lim_(x rarr pi/3)(sqrt3 - tan x)/(pi - 3x)

Evaluate the following limit: (lim)_(x->pi/3)(sqrt(3)-t a n x)/(pi-3x)

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

lim_(x rarr pi/2)(sec x - tan x)=

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

lim_ (x rarr oo) (1-sqrt (3) tan x) / (pi-6x)

If alpha = lim_(x rarr pi//4)""(tan^(3)x - tan x)/(cos (x + (pi)/(4))) and beta = lim_(x rarr 0)(cos x)^(cot x) are the roots of the equation, a x^(2) + bx -4 = 0 , then the ordered pair (a, b) is :

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

Evaluate the following limit : lim_(x rarr pi)(sin 3x -3sinx)/(pi-x)^3 .

lim_(x rarr(pi)/(4))(cot^(3)x-tan x)/(cos(x+(pi)/(4))) is equal to (A) 8(B)