10:39 AM
@user153330 Does searching for $\sum x_ny_n<\infty$, $\lim_{n\to\infty} y_n=\infty$ give some results similar to what you want?
in Mathematics, 18 hours ago, by user153330
hi yall! having a bit of trouble proving something from real analysis. so assume u have a sequence $x_n>0$ such that $\sum x_n$ converges. now i need to prove that there exists another sequence $y_n>0$ such that $\sum x_ny_n$ converges and $y_n$ goes to infinity. the best i could do is to reframe the problem as showing that must exist some $y_n>0$ such that $\sum x_ny_n$ is bounded and $y_n\to+\infty$, but I don't know how to attack it. i'd appreciate any hint
I am not really sure what you mean by "didn't work". The query you linked returned posts which contain the term you entered in the search field.
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