`Lim_(x rarr pi/2)(cos x)/((pi)/(2)-x)`

Consider a function,f(x)=(2)/(3)ln(sin x+cos x)^((3)/(2)) for x in(0,(pi)/(2)) The value of lim_(x rarr(pi)/(2))(f(x))/((pi)/(2)-x) is

Evaluate: lim_(x rarr(pi)/(2))(1+cos2x)/((pi-2x)^(2))

Lim_(x rarr(pi)/(2))(e^(cos x)-1)/((pi)/(2)-x)

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

lim_(x rarr0)(cos x)/(pi-x)

lim_(x rarr(pi)/(2))(tan2x)/(x-(pi)/(2))

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))=

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

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