Question: We can evaluate In 2 by . using the Maclaurin series expansion (i.e., neighborhood of z = 0) of In (1 +z) and setting the

 We can evaluate In 2 by . using the Maclaurin series

We can evaluate In 2 by . using the Maclaurin series expansion (i.e., neighborhood of z = 0) of In (1 +z) and setting the step size to 1, or using the Maclaurin series expansion ond setting the step size to Give the Maclaurin series expansions of both these formulas. You wi find a pattern emerging once evaluate the first 2-3 terms Which approximation would y use? Why? Write an Octave program to approximate In 2 using the first six terms of the series expansion of each formula. List your code i the submission You do not need to write a general function that takes the number of terms as an argument. Instead, just use the first six terms in each formula as they appear. What is the relative error in each case, considering the Octave-generated value of In2 as the true value

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