1. The Integral Test: Suppose f is a , , and function on [1, 00) and let an = f(n). The series 2&1 ak is convergent if and only if the improper integral is convergent. 2. The p-Series Test: A p-series is a series of the form where p is a number greater than zero. If then the series converges. If then the series diverges. 3. The Comparison Test: Suppose that 2, an and 2 bn are series with terms. le 1),. is convergent, and (1,1 S bu for all n, then If 2 bn is divergent, and an 2 bn for all n, then 4-. The Limit Comparison Test: Suppose that 2 an and 2 bn are series with terms. If lima"=c wherec isa andc > nmo bn then either both series or both series 5. a... 1 1+k2 Use the Limit Comparison Test to show that 2,21 converges