Show that if an and bn are Cauchy sequences then anbn is a Cauchy sequence. Note...

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Question

Show that if an and bn are Cauchy sequences then anbn is a Cauchy sequence. Note that you are not allowed to use convergence,

math Advanced-Math

Answer 1

Answer #1

as an is cauchy, for all &>o 7 an NELN such that for nman - - & 2 2 2 an- am E & -o similarly as bn is cauchy & cbn- bm = & M

Answer 2

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