" (3) "lim_(x rarr(1)/(2))(cot x-cos x)/((x-2x)^(3))

lim_(x rarr(pi)/(2))(cot x-cos x)/(cos^(3)x)

lim_(x rarr(pi)/(2))(cot x-cos x)/((pi-2x)^(3)) equals

lim_(x rarr(pi)/(2))(cot x-cos x)/(((pi)/(2)-x)^(3))=

3) lim_(x rarr0)[(1)/(x)-cot x]

lim_(x rarr0){(1)/(x)-cot x}

lim_ (x rarr (pi) / (2)) (cot x-cos x) / ((pi-2x) ^ (3))

lim_ (x rarr (pi) / (2)) (cot x-cos x) / ((pi-2x) ^ (3))

lim_(x rarr0)(x^(2))/(1-cos x)

Let [x] denote the greatest integer not exceeding x. If l_(1) = lim_(x rarr 2^(+)) (x^(2) + [x]), l_(2) = lim_(x rarr 2^(+)) (2x - [x]) and l_(3) = lim_(x rarr (pi)/(2))((cos x)/(x-(pi)/(2))) , then

lim_(x rarr(pi)/(2))(cot x-cos x)/(pi-2x) equals: (1)(1)/(8)(2)(1)/(4)(3)(1)/(24)(4)(1)/(16)