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In this example, the approximations "bounce" back and forth around the root before finding it precisely.
While Newton's method helps us find the roots of these functions with ease, there are some functions to which we cannot apply it. The following examples illustrate such cases.
In example 4, we are faced with a cubed-root function...
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The following examples illustrate such cases.
In example 4, we are faced with a cubed-root function. The table of values shows that the pattern of values for Xn+1 is divergent. They do not approach a single value, the root of the function. Had we not known the root of the function, Z = 0, we would have been misled by Newton's method...
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