QUIZ 6.4A

1. If zn 0, then zn must be convergent.
(a) True  
; (b) False .

2. If zn is absolutely convergent, then it must be convergent.
(a) True
 ; (b) False   .

3. If bn/zn is convergent for z = z1. and | z2 | > | z1 |, then bn/z2n is convergent.
(a) True
 ; (b) False   .

4. The Cauchy product of the series for sin z and cos z is:
S = z – 4z
3/3! + 16z5/5! + ... .
(a) True
 ; (b) False   .

Notes