True or false: if a n </msub> is any decreasing sequence of positive real number

velinariojepvg 2022-05-09 Answered
True or false: if a n is any decreasing sequence of positive real numbers and b n is any sequence of real numbers converges to 0, then a n b n diverges.
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Answers (2)

Maeve Holloway
Answered 2022-05-10 Author has 23 answers
if a n = e n and b n = 1 n 2 then
( a n ) is a decreasing sequence of positive numbers and lim + b n = 0
but
a n b n = n 2 e n 0.
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Jaeden Weaver
Answered 2022-05-11 Author has 3 answers

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