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

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

(iii) lim_(x rarr a)(cos x-cos a)/(sqrt(x)-sqrt(a))x

Evaluate the following limit: (lim)_(x rarr a)(cos x-cos a)/(sqrt(x)-sqrt(a))

lim_(x rarr a)(cos x-cos a)/(cot x-cot a)=

lim_(x rarr a) ((cos x - cos a)/(cot x - cot a)) =

lim_(x rarr0)(cos x)^(cot x)

lim_(x rarr0)[cos x]is

lim_(x rarr oo)((cos x)/x)

(ii) lim_(x rarr0)(x(cos x+cos2x))/(sin x)

lim_(x rarr0)(x(cos x+cos2x))/(sin x)=?