Question

Consider the following function.f(x) = e3x2, a = 0, n = 3, 0 ? x ? 0.2(a) Approximate f by a Taylor polynomial with degree n at the number a.T3(x) =(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ? Tn(x) when x lies in the given interval. (Round your answer to five decimal places.)|R3(x)| ?

Answer 1

Given equation is given below

f(x) = e3x2, a = 0, n = 3, 0 ? x ? 0.2

Using Taylor's inequality

Approximate value of the function=2.4675