Question of the Day
Posted on24 Nov 2020
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Show that $\sum\limits_{n=1}^\infty \frac{\sin n}{ n } $ converges.
Question of the Day
Posted on23 Nov 2020
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Prove that the remainder $R_k$ in the Taylor series expansion of $\cos x$ at the point $a=0$ will converge for all values... Read More
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.
Question of the Day
Posted on21 Nov 2020
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Prove that $-\pi+\sqrt{5+\pi^2}$ is irrational.
Question of the Day
Posted on20 Nov 2020
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Find the limit of $ \lim\limits_{n \to \infty } \sqrt[n]{n} $.
Question of the Day
Posted on19 Nov 2020
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Calculate the upper and lower Riemann Sum for the function $f\left(x\right)=1$ when $x$ is rational and $f\left(x\right)=-1$ when $x$ is irrational. Hence... Read More
Question of the Day
Posted on18 Nov 2020
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Calculate the limit \lim\limits_{x \to 0 } x \ln x without using L’Hôpital’s rule.
Question of the Day
Posted on17 Nov 2020
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Does the following converge or diverge? $\int_{0}^{1} \ln x dx$
Question of the Day
Posted on16 Nov 2020
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Does the following converge or diverge? $\int_{0}^{1} x^{-1} dx$
Question of the Day
Posted on15 Nov 2020
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Does the following converge or diverge? $\int_{0}^{1} x^{-\frac{1}{2}} dx$