13)( 7 pts ) Use the Direct Comparison Test to determine if the following series converges or diverges ; be sure to verify the conditions of the Direct Comparison Test are satised. 1 Zf 14) ( 7 pts ) First use the Divergence Test and then use the Limit Comparison Test to determine if the following series converges or diverges, state your conclusion in a sentence form. Be sure to check the conditions of the Limit Comparison Test k3+4 g k2+9 DIVERGENCE TEST DEFINITION \\Q The nth term for Divergence sta that if lim an does not exist, or n_)DO if lim an :t 0, then the series 2:1 an \".900 is divergent. In other words, if the limit @311 is not zero or does not exist, then sum diverges. Direct comparison Test and Limit Comparison Test Direct Comparison Test If a, and b, are the nth terms of two infinite series, and if we know the behavior of one of them, then the behavior of the other can be obtained using the direct comparison test, provided the following conditions are satisfied. If 0