Practice problem
Use Newton's Method to approximate x3x_3x3 for f(x)=sin(x−π); x1=3π2f(x)=\sin(x-\pi);\ x_1=\frac{3\pi}{2}f(x)=sin(x−π); x1=23π
x3≈0.05783x_3\approx0.05783x3≈0.05783
x3≈0.07375x_3\approx0.07375x3≈0.07375
x3≈0.09185x_3\approx0.09185x3≈0.09185
Newton's Method fails
Type a concept, like “slope” or “photosynthesis”.