Q1:
| a(m+1)/a(m) | = | (m+2)x/m | --> |x| (as m->∞)
by ratio test: |x| < 1 => conv., |x|>1 => div.
so, the radius of conv. = 1
Q2:
Let y= (x-3)^2 /2
=> same as Q1:
By radius : | y | < 1 => conv.
i.e. | x- 3 | < √2 => conv.
so, the radius of conv. = √2