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• 37 Evaluate:: $ 2 \sum_{n=1}^\infty \frac{(-1)^{n+1}}{n+1}\left( 1 + \frac12 +\cdots + \frac 1n\right) $
• 33 Derivation of asymptotic solution of $\tan(x) = x$.
• 27 Finding the value of $\sqrt{1+2\sqrt{2+3\sqrt{3+4\sqrt{4+5\sqrt{5+\dots}}}}}$
• 27 Choice of $q$ in Baby Rudin's Example 1.1
• 25 Approximation to the Lambert W function
• 24 Calculating a real integral using complex integration
• 23 What's the behaviour of $I_n=\int_0^1\left(\frac1{\log x}+\frac1{1-x}\right)^ndx$, as $n \to \infty$?
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