Question

Let f(x) = 1 + x − x2 +ex-1. (a) Find the second Taylor polynomial T2(x)...

Let f(x) = 1 + x − x2 +ex-1.

(a) Find the second Taylor polynomial T2(x) for f(x) based at b = 1.

b) Find (and justify) an error bound for |f(x) − T2(x)| on the interval
[0.9, 1.1]. The f(x) - T2(x) is absolute value.

Please answer both questions cause it will be hard to post them separately.

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