# Calculus Convergence Tests

 The flashcards below were created by user lacythecoolest on FreezingBlue Flashcards. when does the p-series test converge? p>1 when does the p-series diverge? 01 what happens if L=1 on a ratio test? no conclusion can be drawn DCT first test what needs to happen in order for b_k and a_k to converge b_k converges and a_k<=b_k DCT first test what needs to happen in order for b & a _k to diverge b_k diverges and ak>=bk what are the only two allowable combinations of comparison series for the DCT geometric series and p-series conditions for the LCT ak and bk are series with positive terms procedure for LCT take limit ak/bk=L what does 00 for all klim: ak+1/ak=L form for p-series {I} 1/k^pp>0 conditions for the integral test f(x) is continuous, positive, and decreasing on interval [1, infinity)f(x)=ak convergence/divergence on the Integral Test Antiderive ak~either both converge or both diverge conditions for Limit Comparison Test ak and bk positive series how does LCT converge and/or diverge lim ak/bk=L0