Determine whether the series is convergent or divergent. An2 - 6n - 13 n=1 5n + 12 The series ? Justification: (If more than one test is appropriate, pick the first applicable test in the list.) A. This is a Geometric Series of the form " ."- where w - and its sum is (Enter "DNE" if n= 1 divergent.) B. This is a Telescoping Series, lim Sn = O C. By the Divergence Test, lim an = n-+00 D. By the Direct Comparison Test, an _ by with _ be = Ec( me ), c = and p = E. By the Direct Comparison Test, an 2 bn where _ be = _ c(m ) where c = and p = F. By the Limit Comparison Test, let Ebn = Ec( m ) where c = , P = , and lim an 1-+00 bn G. By the Alternating series test, i) {bn } is ultimately decreasing because the function f satisfying f (n) = bn is decreasing on the interval ii) lim bn = H. By the Integral Test, i) The function f satisfying f(n) = an is positive, continuous, and ultimately decreasing on the interval 1 / f(x) da = 1. By the Ratio Test, lim an+1 n-+00 an J. By the Root Test, limn +0. V lanl =