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Antonio Vargas

I like studying the zeros of functions. Here's a list of my answers on the topic here on Math.SE. I also enjoy answering questions about asymptotics in general.

Check out my attempt to add real-time previews for comments here on Stack Exchange.

Also take a look at this problem sequence which guides the reader through an application of the saddle point method and derives the equation of the famous Szegő curve.

My avatar is cropped from this image by Garyck Arntzen.

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36 Evaluate:: $ 2 \sum_{n=1}^\infty \frac{(-1)^{n+1}}{n+1}\left( 1 + \frac12 +\cdots + \frac 1n\right) $ Feb 2 '13
33 Derivation of asymptotic solution of $\tan(x) = x$. Feb 22 '12
27 Finding the value of $\sqrt{1+2\sqrt{2+3\sqrt{3+4\sqrt{4+5\sqrt{5+\dots}}}}}$ Jul 4 '13
25 Approximation to the Lambert W function Aug 8 '13
25 Choice of $q$ in Baby Rudin's Example 1.1 May 6 '12
24 Calculating a real integral using complex integration Apr 23 '12
23 Rounding is asymptotically useless? Mar 3 '12
23 What's the behaviour of $I_n=\int_0^1\left(\frac1{\log x}+\frac1{1-x}\right)^ndx$, as $n \to \infty$? Jul 25 '14
22 Showing that $\gamma = -\int_0^{\infty} e^{-t} \log t \,dt$, where $\gamma$ is the Euler-Mascheroni constant. Feb 23 '12
21 Partial sum of the harmonic series between two consecutive fibonacci numbers Oct 30 '16
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