how would i code this in pyton

1. Develop log in a Taypor senes at x=1. log(1+h)log(1)+log(1)h+log(1)h2/!+log(1)h3/3!+logm"1(1)h4/4! by expscity computing, showing all of your work, each of these numbers, log(1),log(1),log(1)log(1), and logm"(1). Here is the how you should start log(1)=0, because integral from I to I is 0 log(x)=1/x, so, by substitution log(1)=1 log(x)=?? so, by substitution log(1)=??? Piot the true function in black and the approximating Taylor polynomials in dashed colors (using our old Taylor cell) and achieve the plot below for log( 1+h ) but with a usetul legend that identifes each curve. 2. Develop exp in a Taylor senes at x=0. exp(h)=exp(0)+exp(0)h+exp(0)h2/2!+expm(0)h3/3!+expmm(0)h4/4! by explicity computing. showing all of your work, each of these numbers, exp (0), exp p(0), exp(0), exp p(0), and exp pw(0). Plot the true function in black and the approximating Taybr polynomials in dashed colors (using our old Taylor cell) and achieve the plot below for exp( h ) but with a useful legend that identifies each cuive. 3. Develog 2x in a Taylor series at x=0, 2h20+(2x)(0)h+(2x)m(0)h2/2!+(2)m(0)h3/3!+(2x)m(0)h4/4! by expicity computing. showing all of your work, each of these numbers, 26.(2x)x(0),(2x)m(0).(2)m(0). and (2)m(0). Plot the true tunction in black and the approxmating Taylor potynomials in dashed colors (using our old Taylor ceil) and achieve the plot below for 2h but with a useful legend that identifes each curve