Well this is a physics related question but I think putting it in math is best. I am trying to linearize the doppler shift function of light. I know that means to expand it and take the linear terms but don't really know what to do. I was guessing a taylor series expansion but f[x]=f[a]+f'[a](x-a) has me confused as I am not sure what to use as a, as 0 doesn't work too well.(adsbygoogle = window.adsbygoogle || []).push({});

The equation is [tex] v0 \frac{1+\frac{v}{c}} {1-\frac{v}{c}} [/tex] where v0 is on the order of 10^10, c is 3*10^8, and v is around 45.

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# Linearizing a function

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