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Iterative sequence x_n+1 = 3(x_n^4+1)/(4x_n^3) What does p_n converge to? What is the order of convergence?

Iterative sequence
x_n+1 = 3(x_n^4+1)/(4x_n^3)
What does p_n converge to?
What is the order of convergence?

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sequence.doc

Iterative sequence
x_n+1 = 3(x_n^4+1)/(4x_n^3)
What does p_n converge to?
What is the order of convergence? xn+1 = [3( xn ) 4 + 1] / 4( xn )3
3x 4 n−1 + 1 3
1
xn =
= xn−1 + 3 − − − −...

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