(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Using the technique of Taylor expansion, find an approximate expression for the relativistic factor γ for small v (i.e., expanded around v = 0) that is correct to order v^{2}.

2. Relevant equations

γ=1/SQRT(1+ V^{2}/C^{2}). But in class, my professor just substituted X=V/C, so the equation became γ=1/SQRT(1-X^{2}).

3. The attempt at a solution

I tried to expand the function γ(v) with v at 0.....

γ(v)=1+γ'(0)(X-0)+(1/2)γ''(0)(X-0)^{2}

However, this expression wasn't correct. I'm not really sure how else to expand it! Any help would be much, much appreciated, thanks!

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Taylor Series Expansion for the Relativistic Factor of Momentum

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