Month

November 2020

Question of the Day

Posted on29 Nov 2020
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For what values of $x$ will the following converge absolutely? $\sum\limits_{n=1}^\infty 3^n \frac{ x^n }{ n! } $

Question of the Day

Posted on28 Nov 2020
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For what values of $x$ will the following converge absolutely? $\sum\limits_{n=1}^\infty \left(-1\right)^{n-1} \frac{ x^n }{ n } $

Question of the Day

Posted on25 Nov 2020
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Given that $\sum\limits_{n=1}^\infty b_n $ is a convergent series of positive terms prove that series $\sum\limits_{n=1}^\infty a_n $ of positive terms will...
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Question of the Day

Posted on22 Nov 2020
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Find the limit of $ \lim\limits_{n \to  \infty } \frac{r^n}{n!} $, where $r$ is a positive real non-zero number.