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In Newton's method, I am having difficulty understanding why the convergence is quadratic.

I can imagine the closer and closer approximations moving along the x-axis as the base of a right angle triangle, but I cannot see from here how I arrive at the convergence being quadratic.

Any one know of any sources that explain this in a straightforward manner? Or would any one like to attempt to explain this for me?! It's really bugging me!

Thanks in advance.

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# Homework Help: Newtons method and convergence

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