Ankur Rao Asked a Question
November 5, 2020 3:23 pmpts 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 thankyou
    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 ...
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    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.
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  • Mahendra devanda thankyou
    Always convergent . see the attachment
    • cropped8398651613655683353.jpg
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