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Mathematics, 05.08.2019 16:10 swaggernas

(a) find t4(x), the 4th degree taylor polynomial for f(x) = sin x centered at a = π/6. (b) use taylor’s inequality to estimate the accuracy of the approximation f(x) ≈ t4(x) when 0 ≤ x ≤ π/3. in other words, what is the biggest error we could have if we were to use t4(x) in place of f(x) = sin x on the interval [0, π/3]?

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