11. (a) Write the first 5 terms of a power series approximation for f(x) = e-x*² centered at X = 0. (b) Use the above power

Question

11. (a) Write the first 5 terms of a power series approximation for f(x) = e-x*² centered at
X = 0.
(b) Use the above power series approximation to find an approximation to S₁¹₁e-x² dx,
rounding to 3 decimal places. Show work needed to produce this approximation.
(c) Include a graph, shade the region corresponding to the integration and confirm your
answer above using the computer or calculator to evaluate the integral.

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11. (a) Write the first 5 terms of a power series approximation for f(x)=