What is Nth Term Test for Divergence of an infinite series? Calculus Tests of Convergence / Divergence Nth Term Test for Divergence of an Infinite Series 1 Answer Wataru Sep 25, 2014 Nth Term Test (also called Divergence Test) If #lim_{n to infty}|a_n| ne 0#, then #sum_{n=1}^inftya_n# diverges. Answer link Related questions How do you use the Nth term test for divergence on an alternating series? How do you know When to use the nth term test for divergence on an infinite series? How do you use the Nth term test on the infinite series #sum_(n=1)^ooln((2n+1)/(n+1))# ? How do you use the Nth term test on the infinite series #sum_(n=2)^oon/ln(n)# ? How do you use the Nth term test on the infinite series #sum_(n=1)^ooarctan(n)# ? How do you use the Nth term test on the infinite series #sum_(n=1)^oorootn(2)# ? How do you use the Nth term test on the infinite series #sum_(n=1)^oo(n(n+2))/(n+3)^2# ? How do you use the Nth term test on the infinite series #sum_(n=1)^ooe^2/n^3# ? How do you use the Nth term test on the infinite series #sum_(n=1)^oosin(n)# ? A superball that rebounds 3/10 of the height from which it fell on each bounce is dropped from... See all questions in Nth Term Test for Divergence of an Infinite Series Impact of this question 2667 views around the world You can reuse this answer Creative Commons License