`lim(x to 0)(cos (a+x)-cos (a-x))/(x)`

lim_(x rarr0)(cos(tan x)-cos x)/(x^(4)) is equal to :

lim_(x to 0) ((1-cos 2x)(3+cos x))/(x tan 4x) is equal to

lim_(x to 0) (cos 2x-1)/(cos x-1)

the value of lim_(x rarr0)(cos(sin x)-cos x)/(x^(4)) is equal to:

lim_(x to 0) (cos x)/(pi-x)

lim_ (x rarr a) (cos x-cos a) / (xa)

lim_ (x rarr0) (cos (tan x) -cos x) / (x ^ (4)) =

(i) lim_(x to (pi)/(2)) (1+cos 2x)/((pi-2x)^(2)) (ii) lim_( x to 0) (1-cos x.sqrt(cos 2x))/(x^(2)) (iii) lim_(thetararr(pi)/(6)) (sin(theta-(pi)/(6)))/(sqrt(3)-2 cos theta)