`lim_(y rarr a)(sin((y-a)/2)tan((pi y)/(2a)))` is equal to

lim_(x rarr(pi)/(2))[x tan x-((pi)/(2))sec x] is equal to

The value of lim_(x rarr a) (2- a/x)^(tan ((pi x)/(2a))) is:

The value of lim_(x rarr0)(sin^(-1)(2x)-tan^(-1)x)/(sin x) is equal to:

lim_(x rarr 0) (sin (pi cos^(2)x))/(x^(2)) is equal to :

If sin x + sin y = a and cos x + cos y = b, than tan^2((x+y)/(2))+tan^2((x-y)/(2)) is equal to:

lim_(x rarr0)(sin(pi sin^(2)x))/(x^(2)) is equal to

the value of lim_(x rarr y)(sin^(2)x-sin^(2)y)/(x^(2)-y^(2)) equals

Let f(x,y)=sin(2x-y)cos y+cos(2x-y)sin y for all x,y in R. The value of lim_(x rarr0)(1+tan x-x)^((1)/(x^(2)f(x,y))) is equal to

lim_ (x rarr (pi) / (2)) (tan x) / (tan5x)