How do you determine whether the infinite sequence #a_n=n+1/n# converges or diverges? Calculus Tests of Convergence / Divergence Infinite Sequences 1 Answer Wataru Sep 17, 2014 By Sum Rule, #lim_{n to infty}(n+1/n) =lim_{n to infty}n+lim_{n to infty}1/n=infty+0=infty# Answer link Related questions What is the difference between an infinite sequence and an infinite series? What is the definition of an infinite sequence? How do you Find the limit of an infinite sequence? How do you Find the #n#-th term of the infinite sequence #1,1/4,1/9,1/16,…#? How do you Determine whether an infinite sequence converges or diverges? How do you determine whether the infinite sequence #a_n=(2n)/(n+1)# converges or diverges? How do you determine whether the infinite sequence #a_n=(1+1/n)^n# converges or diverges? How do you determine whether the infinite sequence #a_n=(-1)^n# converges or diverges? How do you Find the #n#-th term of the infinite sequence #1,-2/3,4/9,-8/27,…#? How do you determine whether the infinite sequence #a_n=e^(1/n)# converges or diverges? See all questions in Infinite Sequences Impact of this question 1338 views around the world You can reuse this answer Creative Commons License