Question

f(x)=ln(1+2x), a=4,n=3,3.7<=x<=4.3 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f  Tn(x) when x...

f(x)=ln(1+2x), a=4,n=3,3.7<=x<=4.3

(b) Use Taylor's Inequality to estimate the accuracy of the approximation f  Tn(x) when x lies in the given interval. (Round the answer to four decimal places.)

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Homework Answers

Answer #1

Given that

The accuracy of the approximation is estimated by the Taylor's inequality

The (n+1)th i.e. 4th derivative of the function f(x) is

Now,

Rounding the answer to four decimal places, we get that the accuracy of the approximation is 0.

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