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1. Use a definition of a Taylor polynomial to find the Taylor polynomial T2(x) for f(x)...

1.

Use a definition of a Taylor polynomial to find the Taylor polynomial T2(x) for f(x) = x^3/2 centered at a = 4.

We use T1(3.98) to approximate (3.98)^3/2. Apply Taylor’s inequality on the interval [3.98,4.02] to answer the following question: can we guarantee that the error |(3.98)^3/2 −T1(3.98)| of our approximation is less than 0.0001 ?

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