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Secant ( or Chord ) Method and Newton-Raphson Formula

Let f(x) = x^2 - x - 3
(a) Find the Newton-Raphson formula pk = g(pk-1).
(b) Start with p0=1.6 and find p1,p2 and p3.
(c) Start with p0=0.0 and find p1,p2, p3 and p4. What do you conjecture about this sequence.

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The Secant ( or Chord ) Method and Newton-Raphson Formula are investigated. The solution is detailed and well presented.

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