i need help with codeing log in laylor series in a juputer notbook in pyton

Homework 8 1. Develop log in a Tayior series at x=1. log(1+h)=log(1)+log(1)h+log(1)h2ft+logm(1)h3(3!+log=(1)h4/4! by expletty computing, showing alf of your work each of these numbers. bog(1). log' (1). hog" (1). log" (1). and log" (1). here is the how you should var l0g(1)=0 because intepral fiom 1 to 1 is 0 log(x)=1/x i so, by subatitution boef f(1)=1 log" (x) a?r? so, by subtitution b(1)=?7? Piot the true function in back and the apgrowimasing faykor polymomiak in dashed cokors (ubirg our old Toplof cea) and achieve the phot beion ke log(t + h) but with a usehut legend that idenbtes each curve 1. Develop log in a Taybor series at x=1. log(1+h)=log(1)+log(1)h+log(1)h2/2!+log(1)h3/3!+logm"1(1)h4/4! by expliciny computing, showing at of your wook, each or these numbers, log(1),log(1),log(1),log(1), and log(1). Here is the how you should start log(1)=0, because integral from 1 to I is 0 log(x)=1/x, so, by substitution log(1)=1 log(x)=?? so, by subtitution log(1)=??? Plot the true function in back and the approsinating Taylor polynomials in dashed colors (using our old Taylor cell) and achieve the plot below for log ( 1+h) but weth a usehi kegend that ibenthes each curve. Homework 8 1. Develop log in a Tayior series at x=1. log(1+h)=log(1)+log(1)h+log(1)h2ft+logm(1)h3(3!+log=(1)h4/4! by expletty computing, showing alf of your work each of these numbers. bog(1). log' (1). hog" (1). log" (1). and log" (1). here is the how you should var l0g(1)=0 because intepral fiom 1 to 1 is 0 log(x)=1/x i so, by subatitution boef f(1)=1 log" (x) a?r? so, by subtitution b(1)=?7? Piot the true function in back and the apgrowimasing faykor polymomiak in dashed cokors (ubirg our old Toplof cea) and achieve the phot beion ke log(t + h) but with a usehut legend that idenbtes each curve 1. Develop log in a Taybor series at x=1. log(1+h)=log(1)+log(1)h+log(1)h2/2!+log(1)h3/3!+logm"1(1)h4/4! by expliciny computing, showing at of your wook, each or these numbers, log(1),log(1),log(1),log(1), and log(1). Here is the how you should start log(1)=0, because integral from 1 to I is 0 log(x)=1/x, so, by substitution log(1)=1 log(x)=?? so, by subtitution log(1)=??? Plot the true function in back and the approsinating Taylor polynomials in dashed colors (using our old Taylor cell) and achieve the plot below for log ( 1+h) but weth a usehi kegend that ibenthes each curve