I need some help on the following
Determine the interval of convergence of the power series
sum of series (-1)^n/(n+3)4^n * (x-1)^n
Here An = (-1)^n/(n+3)4^n, for n=1,2....
|An+1/An| = 1/(n+4)4^n+1 * (n+3)4^n/1
= ? ----> as n ----> ?
we have R = ? , by the Ratio Test.
2. If x = ? , the the power series is
Hence the interval of convergence is ( ? )