1. [30 points] Consider the following approximation of 1/(1-x), |x| ...

 

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1. [30 points] Consider the following approximation of 1/(1-x), |x| <1 using the power series: 1 -=1+2+2+2+... || <1 Use matlab or a calculator to find the smallest degree of the polynomial that leads to an absolute true relative error less than 0.001 when approximating this function with x = 0.25. 1. [30 points] Consider the following approximation of 1/(1-x), |x| <1 using the power series: 1 -=1+2+2+2+... || <1 Use matlab or a calculator to find the smallest degree of the polynomial that leads to an absolute true relative error less than 0.001 when approximating this function with x = 0.25.