Question: We want to compute an approximation to e1/6 given by Pn(1/6) where Pn(x) is the Taylor polynomial of degree n about a=0 of the function

We want to compute an approximation to e1/6 given by Pn(1/6)

We want to compute an approximation to e1/6 given by Pn(1/6) where Pn(x) is the Taylor polynomial of degree n about a=0 of the function ex. Find n as small as possible to ensure that the absolute error satisfies e1/6Pn(1/6)1014 ? Note: since e(6/5)6 you can use the bound e1/66/5. Remark: you are not asked to give the polynomial Pn(x)

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