n Pn (2) = f ( k ) ( a ) - ( x - a ) k k=0 k! The Taylor polynomial of degree 4 for f(x) = In(1 + x) about x = 0 exists, and is equal to P4 (20) = 15/5 The first few Taylor polynomials for In (1 + a ) near a = 0 are shown in the GeoGebra app below; they are reasonable approximations to In (1 + x ) provided we choose ac