Suppose that I ak converges absolutely. Now consider two. related k=1 a2 series I a2 and E These two 2 k=1 k=1 1+ak a) both converge conditionally but not absolutely b) both converge absolutely c)...

Suppose that I ak converges absolutely. Now consider two. related k=1
a2 series I a2 and E These two 2 k=1 k=1 1+ak
a) both converge conditionally but not absolutely b) both converge absolutely c) both diverge 2
ak d) Z a converges but I diverges 1+ ak
a 2 2 2 e) r converges but 2' ak diverges. 1 +ak
(Select the choice which gives complete. correct information.) 2 The series T (-1)k+1 k + 3
k=1 k3 + k + 5
a) diverges b) converges conditionally and absolutely c) is a p-series with p 3 d) is a power series in powers of k e) converges conditionally but not absolutely
(Select the choice which gives complete correct information.) xk a, The series I
k=1 2k(1 - x)k
a) is a power series b) is not a power series c) diverges for all x * 0 d) is a geometric series, common ratio ; e) is a p-series. p = 2