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

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

If f(x+ y) = f(x) + f(y) for x, y in R and f(1) = 1, then find the value of lim_(x->0)(2^(f(tan x)-2^f(sin x)))/(x^2*f(sin x))

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

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 to pi)(sin 3x)/(sin 2x) is equal to

The value of lim_(x rarr(pi)/(2))tan^(2)x(sqrt(2sin^(2)x+3sin x+4)-sqrt(sin^(x)+6sin x+2)) is equal to

What is the value of {(sin4x+sin4y)tan(2x-2y)}/(sin4x-sin4y)?

Evaluate: lim_(x rarr0)(y^(2)+sin x)/(x^(2)+sin y^(2)) where (x,y)rarr(0,) along the curve x=y^(2)