यदि `y=1+x+x^(2)+x^(3)+........." to "oo` जहाँ `0ltxlt1` तो दिखाइए कि `x=(y-1)/(y)`

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

"If "y=x+x^(2)+x^(3)+...oo and |x|lt1, "then prove that "x=(y)/(1+y).

"If "y=x+x^(2)+x^(3)+...oo and |x|lt1, "then prove that "x=(y)/(1+y).

If y=x+x^(2)+x^(3)+....oo"where" |x|lt1" prove that " x=(y)/(1+y) .

If y= x^(1/3).x^(1/9).x^(1/27)...oo then y=?

If x=1+y+y^(2)+.. . to oo, then y is

If y=1+(1)/(x)+(1)/(x^(2))+(1)/(x^(3))+... to oo with |x|>1 then (dy)/(dx)=

If y = 1 +(1)/(x) +(1)/(x^(2)) + (1)/(x^(3)) + ……..+oo with |x| gt 1 then (dy)/(dx) is .

If y=1+(1)/(x)+(1)/(x^(2))+(1)/(x^(3))+… to oo with |x|gt 1 then (dy)/(dx)=