यदि `y=3x+6x^(2)+10x^(3)+....infty` हों तो सिद्ध कीजिए कि `x=1-(1+y)^(-1//3)`.

if y=3x+6x^(2)+10x^(3)+............ then the value of x in terms of y is (i) 1-(1-y)^(-(1)/(3))( ii) 1-(1+y)^((1)/(3))( iii) 1+(1+y)^(-(1)/(3))( iv )1-(1+y)^(-(1)/(3))

If 0 lt x lt 1 and y = x - x^(2) + x^(3) - x^(4) + ....... infty then y + y^(2) + y^(3) + ......... infty is equal to

y=1+x+(x^2)/(2!)+(x^3)/(3!)+.....infty ,then dy/dx=

If y= 1+x+ (x^(2)) /(2!) +(x^(3))/( 3!) +......infty ,then (dy)/(dx) =

1+3x+6x^(2)+10x^(3)+.oo, where (x=(1)/(3)) is

यदि (x/3+1,y-2/3) = (5/3,1/3) हो, तो x और y का माना ज्ञात , कीजिये।