Let {ak} and be real sequences. Decide which of the following statements are true and which are false. Prove the true ones and give counterexamples to the false ones.
a) Suppose that 0 b) If ˆ‘ˆžk=1 ak is absolutely convergent and ak †“ 0 as k †’ ˆž, then

c) If ak d) If ˆ‘ˆžk=1 ak is absolutely convergent, then ˆ‘ˆžk=1 ak2 is absolutely convergent.

Transcribed Image Text:

lim sup la|k <1. I/k