PHYS 204A Midterm: PHYS 204A Chico State Exams Exam 2 Spring 18
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There will be a quiz on thursday on similar material. It will count to- wards your score on prelim2; i haven"t yet decided by how much: true or false. If false, give a counter example. bn are divergent series of nonnegative numbers, then (a) if. Solution: the series with terms an = bn = 1 terms anbn = 1. If an > 0 for all n, and. X n=0 an an + 1 converges. (hint: use a comparison test). Solution: 1 < an + 1, so 0 < an the series p an vs bn = an an+1. n=0 an+1 < an. Yoou can also use a limit comparison test, an (c) if. X an is a convergent series of nonnegative numbers, then. Solution: lim n diverges. ln(2 + an) = ln 2 6= 0. The n th term test implies the series (d) 1 n(ln n)2 converges by the integral test.
