radius of convergence of the series - n=0 n2+ Σ is equal to ......... 2.

compare the series (1+x)-3=1-3x+6x2-10x3........ with  ex= 1+x +x2/2 +x3/6............   Are they both convergent? How can you prove this?

Find the radius of convergence and interval of convergence of the series. (-1)"-1 Σ xn+8 n2 n=2 R = I = |?

Find the interval of convergence and the radius of convergence for the series