Question

Y=1+X+x^2+x^3+
.....
Infinite then find Dy/dx

Answer 1

Answer:

Y=1+x+x²+x³+x⁴+.......

Y=1+x(1+x+x²+......)

Y=1+xY

dY/dx=0+x.dY/dx+Y

dY/dx=Y/(1-x)