[tex]V = 2\pi \sigma(\sqrt{R^2+a^2}-R)[/tex](adsbygoogle = window.adsbygoogle || []).push({});

Show that for large R,

[tex]V \approx \frac{\pi a^2 \sigma}{R}[/tex]

I figured if I could develop the MacLaurin serie with respect to an expression in R such that when R is very large, this expression is near zero, then the first 1 or 2 terms should be a fairly good aproximation. But I can't find such an expression.

Thanks for your help.

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# Homework Help: Taylor expansion

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