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