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November 5, 2020 3:23 pm 30 pts
let series Un is convergent and Vn is bounded sequence then series UnVn is convergent or not
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• Deepak singh
correct statement - if series Un is convergent and and sequence Vn is monotonic and bounded then series Un.Vn is convergent ... Notice that here Vn should be monotonic also ...
Deepak singh
if Vn is not monotonic then series Un.Vn may not be convergent..
• Srinath
Consider the series un to be (-1)^n/n. Let vn be the bounded sequence (-1)^n. Observe that, the series unvn is not convergent.