Newton's Method: A Computer Project

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functions have multiple roots. Failure to choose
an initial value that is close to the root could result in finding a the wrong
root or wasting a lot of time doing multiple iterations while getting close to
the actual root.
On some occasions, the program cannot find a root to an initial guess
that is placed into the program. In some instances Mathmatica could not find
the root to the function, like if it is a parabola with its vertex is placed
right on the y axis with its roots an equal distance away in both directions.
In a case like this, the computer could not decide which root to work towards so
it gave an indeterminate answer.
Although Newton's Method does have its disadvantages, it is very
effective for finding the roots of most equations. The advantages definitely
outweigh the slight disadvantages, and that is why it is still used to this ...

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