Given number: n10en 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=n101 and x0=−e , d=1 , c=0 then R=∞~(−e+n→∞lim(n10(n+1)10)) Let's take the limit we find