Q5: Find Taylor series of f(x) = e* about a = π

determine the Taylor series of F(X) if a=2

Build a Taylor series approximation from scratch for f(x) = ln(x2) centered at 2 -  I  understand how to find the derivatives at n=1,2,3... I just don't know how to go from there; how to recognize the patterns and turn that into the sigma notation

5) Find the Taylor series for the function g(x) = x²e2x+3 centered at a = -2.