Show that the iteration converges to the limit a 1/3 . Use the formula with a =

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Show that the iteration

Xn+1 |  3 2x + D 2 X n

converges to the limit a1/3. Use the formula with a = 157 and x0 = 5 to compare x1 and x2.
Show that the error εn in the nth iterate is given by

En+1 &/xn-1, where x = a/ + n 'n

Hence estimate the error in x1 obtained above.

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