Consider the function(adsbygoogle = window.adsbygoogle || []).push({});

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!

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# Homework Help: Need some help to get started

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