The answer is sqrt3+2x/sqrt3+2x^2/3sqrt3+4x^3/9sqrt3. This is found by taking the 1st, 2nd, and 3rd derivative and putting them into the taylor series expansion formula. What this represents is it gives you a polynomial, that locally around x=0 is very similar to sqrt(4x+3). It does fall off pretty quickly outsdie the general area x=0, so be wary of using it to find larger values. . . . . . #calculusmemes #calculus #sciencememes #taylorseries