Given the function f(x) = e, linearize f(x) about the point 0. That is, a =...

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Given the function f(x) = e", linearize f(x) about the point 0. That is, a = 0. Also develop the second-order and third-order Taylor series about the point 0. Now plot e* and the first (linear), second and third-order approximations versus x from x = -1 to x = 1 in increments of 0.1. Use Excel or MATLAB to make the plots. Also plot the difference between e" and the three approximations. Side note: A Taylor series expanded about the point 0 is called a Maclaurin series. Given the function f(x) = e", linearize f(x) about the point 0. That is, a = 0. Also develop the second-order and third-order Taylor series about the point 0. Now plot e* and the first (linear), second and third-order approximations versus x from x = -1 to x = 1 in increments of 0.1. Use Excel or MATLAB to make the plots. Also plot the difference between e" and the three approximations. Side note: A Taylor series expanded about the point 0 is called a Maclaurin series.