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CAIE A Level Mathematics 9709 · Numerical solution of equations

Numerical solution of equations: calculation question

2 marksStandard

Using the iteration xn+1=12(xn+169xn)x_{n+1} = \dfrac{1}{2}\left(x_n + \dfrac{169}{x_n}\right) with a suitable x0x_0, the sequence converges to a limit LL. Find LL.

  1. (a)

    State LL.

    [2]

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