Practice problem
Use Newton's Method to approximate x3x_3x3 for f(x)=lnx; x1=2f(x)=\ln x;\ x_1=2f(x)=lnx; x1=2
x3≈0.509x_3\approx0.509x3≈0.509
x3≈0.728x_3\approx0.728x3≈0.728
x3≈0.913x_3\approx0.913x3≈0.913
Newton's Method fails
Type a concept, like “slope” or “photosynthesis”.
