if `r>1` and `x=a+a/r+a/r^2+...............oo , y=b-b/r+b/r^2-.................oo` and`z=c+c/r^2+c/r^4+..............oo` then `(xy)/z`

if r>1 and x=a+(a)/(r)+(a)/(r^(2))+.........oo,y=b-(b)/(r)+(b)/(r^(2))-(b)/(r^(2)) and z=c+(c)/(r^(2))+(c)/(r^(4))+............oo then (xy)/(z)

If |r| gt 1, x = a + a/r + a/r^(2) + .......... infty , y = b - b/r + b/r^(2) - ......... infty and z = c + c/r^(2) + c/r^(4) + ...... infty , then the value of (xy)/z =

If r>1 and x=a+(a)/(r)+(a)/(r^(2))............,y=b+(b)/(r)+(b)/(r^(2))...... and z=b+(b)/(r)+(b)/(r^(2))+.......... Then value of (xy)/(z^(2)) is

If x=a+(a)/(r)+(a)/(r^(2))+...oo,y=b-(b)/(r)+(b)/(r^(2))+...oo, and z=c+(c)/(r^(2))+(c)/(r^(4))+...oo prove that (xy)/(z)=(ab)/(c)

"If "x=a+(a)/(r)+(a)/(r^(2))+...oo,y=b-(b)/(r)+(b)/(r^(2))-...oo,"and "z=c+(c)/(r^(2))+(c)/(r^(4))+...oo," then prove that "(xy)/(z)=(ab)/(c).

"If "x=a+(a)/(r)+(a)/(r^(2))+...oo,y=b-(b)/(r)+(b)/(r^(2))-...oo,"and "z=c+(c)/(r^(2))+(c)/(r^(4))+...oo," then prove that "(xy)/(z)=(ab)/(c).

If x=a + (a)/(r ) + (a)/(r^(2)) + …..oo, y= b - (b)/(r ) + (b)/(r^(2))-……..oo and z= c + (c )/(r^(2)) + (c )/(r^(4))+ ….oo then prove that (xy)/(z)= (ab)/(c )

If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n dz=c+c/(r^2)+c/(r^4)+oo, prove that (x y)/z=(a b)/c

If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n dz=c+c/(r^2)+c/(r^4)+oo, prove that (x y)/z=(a b)/c