The iteration may be used to calculate the reciprocal of a; that is, to solve ax =

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The iteration 

X+1 = x (3 - 3, + ax2)

may be used to calculate the reciprocal of a; that is, to solve ax = 1. Show that this is a third-order process with 

Ent 1+1 3  '.

Apply the iteration with a = 1.735, starting with x0 = 0.5, and prove that x2 is correct to 8dp.

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