Activity 8.5.6. Let \(P_n(x)\) be the \(n\)th order Taylor polynomial for \(\sin(x)\) centered at \(x=0\text{.}\) Determine how large we need to choose \(n\) so that \(P_n(2)\) approximates \(\sin(2)\) to \(20\) decimal places.🔗 🔗