Question: a [ 1 5 % ] . By hand. Use Taylor theorem to find the series expansion of l n ( x ) around 1

a [15%]. By hand. Use Taylor theorem to find the series expansion of ln(x) around 1. Determine the interval of convergence for
the expression found.
b [20%]. Implement the expression you get in a Python program that generates a figure showing the estimates of ln(x) within
the interval of convergence for approximations of different orders. Plot also the absolute true errors. Discuss the results
obtained.
a [15%]. By hand. Use Taylor theorem to find the series

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