IDNLearn.com: Your destination for reliable and timely answers to any question. Ask anything and get well-informed, reliable answers from our knowledgeable community members.
Let a₁, a₂,..., anₙ, be a sequence of rational numbers. The sequence is called a Cauchy sequence if for every positive real number ε, there is a natural number N, such that for all m, n € N, m,n ≥ N ⇒ ∣aₘ−aₙ∣ < ε.Prove that the sequence 1,1/2,1/4,1/8,....,1/2ₙ,...... is a Cauchy sequence.
Sagot :
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.
