We have learned that the Ratio Test is a useful test for determining the convergence of aseries. There is another test, the so called Root Test, that is sometimes more powerful and ismuch better suited for studying series whose terms contain exponentials. The Root Test isvery similar to the Ratio Test and reads:Let K=\lim_(n->\infty ) oot(n)(|a_(n)|)=\lim_(n->\infty )(|a_(n)|)^((1)/(n)).If K<1, then \sum a_(n) converges.If K>1, then \sum a_(n) diverges.If K=1, the test is inconclusive.Use the Root Test to decide whether each of the following series converges or diverges.(a)[5pts.]\sum_(n=1)^(\infty )((n)/(2n+3))^(n)(b)[5 pts.]\sum_(n=1)^(\infty )((n)/(n+1))^(n^(2)).