1) Use the series approximation =1+x+x2+x3+ ... and integration or differentiation to obtain the series 1-x representation of In ( 1 - x) 2) Obtain the Taylor polynomial of degree 4 for f (x) = sin(x) centered at x =x/3 1 3) Obtain the Taylor series (5 terms at least) for centered at x = 0. Compare it to the series we obtained last week (see 14x problem 1) 4) Obtain the Taylor series (5 terms at least) for f (x) = tan (x) centered at x = x/4