If `y= 2x + 3x^2 + 4x^3 +........`, then `y/2-(1.3)/(2!)(y/2)^2+(1.3.5)/(3!)(y/3)^3-......oo=`

(3) 3x-2y=(5)/(2) (1)/(3)x+3y=-(4)/(3)

2x + 5y = 1 , 2x + 3y = 3 .

If x^2=y^3 , then prove that (x/y)^(3/2)+(y/x)^-(2/3)=x^(1/2)+y^(1/3) .

If x-x^2/2+x^3/3+x^4/4+..... to oo=y , then y+y^2/(2!)+y^3/(3!)+.... + to oo is equal to

If, y=x-x^2/2+x^3/3-x^4/4+....oo and (|x|lt1) then x=y+y^2/(a!)+y^3/(b!)+......+oo Find a^2+b

If x-(x^(2))/(2)+(x^(3))/(3)+(x^(4))/(4)+.... to oo=y then y+(y^(2))/(2!)+(y^(3))/(3!)+....+ to oo is equal to

If x^(2)y = 2x - y and |x| lt 1 , then (( y + (y^(3))/(3) + (y^(5))/(5) + ….oo))/((x + (x^(3))/(3) + (x^(5))/(5) + ……oo)) =

If x^(2)y = 2x - y and |x| lt 1 , then (( y + (y^(3))/(3) + (y^(5))/(5) + ….oo))/((x + (x^(3))/(3) + (x^(5))/(5) + ……oo)) =