(Solved): Consider T3(x), the 3rd degree Taylor polynomial of f(x)=ln(1+2x) centered at a=1. Use the T ...

Consider $T_3(x)$, the 3rd degree Taylor polynomial of $f(x)=\ln (1+2x)$ centered at $a=1$. Use the Taylor Polynomial Error Bound to estimate the accuracy of the approximation $f(x)?T_3(x)$ for $1?x?2$. As always, be sure to give an exact answer, a decimal approximation is not enough and not needed. (Your answer should not depend on $x$ or n.) $\begin{array}{l}\text{ |error }??\frac{64}{81}\\ ?\text{ error }??\frac{4}{625}\\ ?\text{ error| }?\frac{4}{125}\\ ?\text{ error }??\frac{4}{81}\\ ?\text{ error }??\frac{1}{6}\end{array}$