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Show that the iterates x,, defined by (4) will converge to f
Chapter 1, Problem 1(choose chapter or problem)
QUESTION:
Show that the iterates x,, defined by (4) will converge to f
Questions & Answers
QUESTION:
Show that the iterates x,, defined by (4) will converge to f
ANSWER:Step 1 of 4
The square root of 2 is the solution of the equation .
In order for Newton’s method to converge, it should be on the interval, where the iterations will converge to a unique root.
The equation has a unique root at an interval
if the function is monotonic and continuous in the same interval.