Practice problem
Use Newton's Method to approximate x3x_3x3 for f(x)=x1000−20; x1=1f(x)=x^{1000}-20;\ x_1=1f(x)=x1000−20; x1=1
Round to the nearest thousandth.
x3≈1.016x_3\approx1.016x3≈1.016
x3≈1.018x_3\approx1.018x3≈1.018
x3≈1.02x_3\approx1.02x3≈1.02
Newton's Method fails
Type a concept, like “slope” or “photosynthesis”.
