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Home Limits, Analytic Geometry, and Approximations Newton's Method Examples Example 1: Approximating a Zero  
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Example 1: Approximating a Zero
Approximate a zero of f(x) = x^{3} + 2x^{2}  5 by Newton's method.
Figure 5.9.4
As a check we compute f(x_{3}) = x_{3}^{3} + 2x_{3}^{2}  5 ~ 0.01 One more iteration gives much more accuracy:


Home Limits, Analytic Geometry, and Approximations Newton's Method Examples Example 1: Approximating a Zero 