Question: We want to compute an approximation to e/6 given by Pn(1/6) where Pn(x) is the Taylor polynomial of degree n about a = 0

We want to compute an approximation to e/6 given by Pn(1/6) where Pn(x) is the Taylor polynomial of degree n about a = 0 of the function e. Find n as small as possible to ensure that the absolute error satisfies |e/6 Pn(1/6)| 10-4? Note: since e (6/5)6 you can use the bound e/6 6/5. Remark: you are not asked to give the polynomial Pn(x).

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