Question

G.2.a) ArcTan[x]

G.2.b) E^x/(5 + x^2)

G.2.c) (4 x + 16)/(x^3 - 6 x^2 + 10 x - 8)

Give the intervals of convergence of the expansion in powers of x for each of the following functions G.2.a) ArcTan[x] eX 5+x2 G.2.c) 4 x +16 x3 -6x2 +10x-8