1)Find radius of convergence if i have g(x) = x^(1/4). with x centered at x=16.

2) im suppose to graph T2(x) and x^1/4 to observe something... but what does this mean?

3)And then i must use T2(x) to approximate (20)^1/4 . --> I would just plug in x=20 for x right?

The problem also helps us and tells us that x = 16 + (x-16) ...( But would this still be centered at 16)?

if i took x= 16+(x-16) then

then g(x) = summation of n=0 to infinity of (1/4 choose n) *((x-16)/16))^n as my binomial series. The radius of convergence would be abs((x-16)/16) < 1 --> soR= 1.

I was wondering if i did something wrong?