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Taylor, Maclaurin, & Power series challenge

Let  g(x)=e4x ~g\left( x \right)=e^{4x}~ and let  T2(x) ~{{T}_{2}}\left( x \right)~ be the second-degree Taylor polynomial for  g ~g~ centered at  x=0~x=0\,. Determine the sum of the coefficients of  T2~T_2\,.