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 v2.
γ=1/SQRT(1+ V2/C2). But in class, my professor just substituted X=V/C, so the equation became γ=1/SQRT(1-X2).
The Attempt at a Solution
I tried to expand the function γ(v) with v at 0.....
However, this expression wasn't correct. I'm not really sure how else to expand it! Any help would be much, much appreciated, thanks!