Question: Show the cubic equation x 3 2x 1 = 0 has a root near x = 2. Prove that the iteration fails to

Show the cubic equation x3 – 2x – 1 = 0 has a root near x = 2. Prove that the iteration

Xn+1 = 1/(x-1)

fails to converge to that root. Devise a simple iteration formula for the root of the equation, and use it to find the root to 6dp.

Xn+1 =(x-1)

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