Evaluate `(x/(x+y)+y/(x-y))/(x/(x-y)-y/(x+y))=`?

The third proportional to (x^(2)-y^(2)) and (x-y) is (x+y) b.(x-y)c(x+y)/(x-y) d.(x-y)/(x+y)

the value of lim_(x rarr y)(x^(y)-y^(x))/(x^(x)-y^(y)) is:

The value of (x/y)/(x/y+y/x) is

Find the sum of the following arithmetic progression: (x-y)/(x+y),(3x-2y)/(x+y),(5x-3y)/(x+y),quad longrightarrow n terms.

If x^(y)=y^(x) , prove that (dy)/(dx)=((y)/(x)-log y)/((x)/(y)-log x)

Find the value of (x+y) ,if (x+(y^(3))/(x^(2)))^(-1)-((x^(2))/(y)+(y^(2))/(x))^(-1)+((x^(3))/(y^(2))+y)^(-1)=(1)/(3)

The value of (x-y)^3+(x+y)^3+3(x-y)^2(x+y)+3(x+y)^2(x-y) is

If x^(y) y^(x)=(x+ y)^(x+y).then (dy)/(dx)=

If x=2 and y=4 , then ((x)/(y))^(x-y)+((y)/(x))^(y-x) =________.