How do you find the radius of convergence #Sigma (1*4*7* * * (3n+1))/(n!)x^n# from #n=[0,oo)#?
1 Answer
Jan 17, 2017
The radius of convergence is
Explanation:
The ratio test states that a necessary condition for
if
We then evaluate the ratio for the series at hand:
so that:
The series is then absolutely convergent for