Mastering the MacLaurin Series and Radius of Convergence for f(x) = ln(1-x)

[jkh4]

Consider the function

f(x) = ln(1-x)

a) compute the MacLaurin series of f(x) (ie: the Taylor series of f(x) around x=0)

b) Compute the radius of convergence and determine the interval of convergence of the series in a)

c) Determine the Taylor series of f'(x) around x=0. Can you do so without using a)?

d) How would you have computed part a) if you had first done part c)?

Thank you!

 

[quasar987]

Hi,

You need to show your work in order to get help. Forum guidelines.

 

[d_leet]

Someone posted this exact same question in the Calculus and Analysis forum.