1. Prove that every cauchy sequence is bounded below. 1 2. (an +1). Let a sequence be defined by a1 = 1 and an+1 = 1. Sh
Posted: Tue Nov 16, 2021 6:49 am
1. Prove that every cauchy sequence is bounded below. 1 2. (an +1). Let a sequence be defined by a1 = 1 and an+1 = 1. Show that the sequence (an) converges. 2. Find the limit of the sequence 3. Suppose (an) is a convergent sequence and (yn) is a sequence such that for any e > 0, there exists M such that for n > M, we have an - by <e. Does it follow that (bn) is convergent?