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

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

underset(y to x)lim (sin^(2)y-sin^(2)x)/(y-x)=

Evaluate : underset(xrarry)"lim"(sin^(2)x-sin^(2)y)/(x^(2)-y^(2))

The value of lim_(xto0)(1)/(x)[int_y^ae^(sin^2t)dt-int_(x+y)^ae^(sin^2t)dt] 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)

If (cos^(4)x)/(cos^(2)y)+(sin^(4)x)/(sin^(2)y)=1 , then (cos^(4)y)/(cos^(2)x)+(sin^(4)y)/(sin^(2)y) equal :