Determine whether the series is convergent or divergent. 11 . 42-2 ni (-4) 3n+1 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 = n-+00 C. By the Divergence Test, lim an = 1-+00 D. By the Direct Comparison Test, an _ on with _ be = > c( ), c = and p = E. By the Direct Comparison Test, an 2 bn where _ br = E c(m ) where c = and p = F. By the Limit Comparison Test, let _ by = > c( T ) where c = . P= , and lim an n->00 bn G. By the Alternating series test, i) {bn } is ultimately decreasing because the function f satisfying f(n) = b, is decreasing on the interval ii) lim bn = n-+00 H. By the Integral Test, i) The function f satisfying f(n) = an is positive, continuous, and ultimately decreasing on the interval 1) ( f(z) da = 1. By the Ratio Test, lim anti n-+00 an J. By the Root Test, limn +0. V |anl =