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" 10."lim(x rarr(pi)/(6))(sqrt(3)sin x-c...

" 10."lim_(x rarr(pi)/(6))(sqrt(3)sin x-cos x)/(x-(pi)/(6))" is "

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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)

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

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

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

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

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

lim_(x rarr(pi)/(2))(sqrt(2)-sqrt(1+sin x))/(cos^(2)x)

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