Comparison Test: Let 0≤an≤bn0\le a_n\le b_n0≤an≤bn for all sufficiently large nnn. If ∑n=1∞bn\sum_{n=1}^\infty b_n∑n=1∞bn converges , then ∑n=1∞an\sum_{n=1}^\infty a_n∑n=1∞an converges. If ∑n=1∞an\sum_{n=1}^\infty a_n∑n=1∞an diverges , then ∑n=1∞bn\sum_{n=1}^\infty b_n∑n=1∞bn diverges. This test reduces convergence questions to bounding terms by simpler expressions.