`lim_(k rarr pi/2) sink / k`

lim_(x rarr pi/2) [sin x] is :

For a in R^(+) such that lim_(x rarr0)(1-cos ax)/(x^(2))=lim_(x rarr pi)(sin x)/(pi-x) then a=

For a in R^(+) such that lim_(x rarr0)(1-cos ax)/(x^(2))=lim_(x rarr pi)(sin x)/(pi-x) then the value of a is

lim_(theta rarr pi/2) (pi/2- theta)/(cot theta) =

lim_ (x rarr (pi) / (2)) [sin x] is

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

lim_(x rarr 0) x^(2). sin (pi/x) is

lim_ (n rarr oo) sum_ (k = 1) ^ (n) ((sin) (pi) / (2k) - (cos) (pi) / (2k) - (sin) ((pi) / (2) k + 2)) + (cos) (pi) / (2 (k + 2))) =

lim_ (n rarr oo) sum_ (k = 1) ^ (n) (k ^ (2)) / (2 ^ (k))