Question

Test Convergence of series x +2x^2+3x^3 upto infinite

Answer 1

Answer:

Let S=1+2x+3x

2

+4x

3

+... (i)

xS=x+2x

2

+3x

3

+... (ii)

(i)-(ii) ⇒ (1−x)S=1+x+x

2

+x

3

+...

or S=

(1−x)

2

1