Let be positive numbers and Prove that Thank you very much in advance!
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We have where . Hence the limit of the subsequence is . Now show that the limit is for the subsequence .
Originally Posted by zadir Let be positive numbers and Prove that Thank you very much in advance! The series with positive terms converges and that means that there is an and an such that for n 'large enough' is... (1) From (1) it follows that... (2) Kind regards
Chisigma : are you sure that your property is true ? What about ?
Thank you very much for all your answers!
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