Wednesday, January 18, 2012

If f(x)= Squareroot(x) if x Greater than or equal to zero,,and -Squareroot(-x) if x < 0?

Then the root of the equation f(x)=0 is x=0. Explain why Newton's method fails to find the root no matter which initial approximation x sub 1 does not equal 0. Illustrate your explanation with a sketch.

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