Question
ICI (LIL ) neN 2. Give examples of two sequences that do not converge but whose...
ICI (LIL ) neN 2. Give examples of two sequences that do not converge but whose (a) sum converges. (b) product converges. (c) quotient converges.
Answers
sequence that Let (an) and (bn) are two do not converges. I had do not onverre but 1. suden converges. (sum) pan>= {n} = divergent to ao Son} = {-45 divergent to us. but {an£ + {byf = 03 is convergent sequorces (b) (an) and (bn) do not converge but product . an vesyes. {an} = {(-2) 1} is not egt. {n} = { (2.jhtig is not cgt. but {anon} = { enjant af is convergent (c) (On) and (bn I do not converges but quastiert converges. ibn = n does not converges. - to -1.. is convergent
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