Given number: nlog(n) It is a series of species an(cx−x0)dn - power series. The radius of convergence of a power series can be calculated by the formula: Rd=cx0+limn→∞an+1an In this case an=nlog(n) and x0=0 , d=0 , c=1 then 1=n→∞lim(nlog(n+1)(n+1)∣log(n)∣) Let's take the limit we find