Question of the Day
Posted on08 Nov 2020
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Derive the Taylor Series Expansion (there is no need to find the remainder term / discuss convergence etc.)
Question of the Day
Posted on07 Nov 2020
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Will the following converge or diverge? $\sum\limits_{n=1}^\infty \frac{ x^n }{ n^2 } $
Question of the Day
Posted on06 Nov 2020
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Will the following converge or diverge? $\sum\limits_{n=1}^\infty \frac{ n }{ 3n^2 – 1 } $
Question of the Day
Posted on05 Nov 2020
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Will the following converge or diverge? $\sum\limits_{n=1}^\infty \frac{ n^2 + 1 }{ n^5 + n + 1 } $
Question of the Day
Posted on04 Nov 2020
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Calculate $\sum\limits_{n=1}^\infty \frac{1}{n^2+2n} $.
Question of the Day
Posted on03 Nov 2020
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Calculate $\sum\limits_{n=1}^\infty \frac{1}{4n^2-1} $.
Question of the Day
Posted on02 Nov 2020
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By use of the Squeeze Theorem calculate the limit $ \lim\limits_{n \to \infty } \frac{1}{\sqrt{n^2+1}} + \frac{1}{\sqrt{n^2+2}} + \frac{1}{\sqrt{n^2+n}} $.
Question of the Day
Posted on01 Nov 2020
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Find the Maclaurin Series of $\frac{4x^2-3}{\left(1-x\right)\left(1-2x\right)^2}$ where $x$ is small i.e. less than $\frac{1}{2}$ in magnitude. But, you can’t use the formula... Read More
Question of the Day
Posted on01 Nov 2020
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By use of the Squeeze Theorem calculate the limit $ \lim\limits_{n \to \infty } \frac{1}{n^2+1} + \frac{1}{n^2+2} + \cdots + \frac{1}{n^2+n} $.... Read More
Question of the Day
Posted on31 Oct 2020
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Calculate the limit $ \lim\limits_{n \to \infty } \frac{1}{ \sqrt{n+1}-\sqrt{n} } $.