Let, f (a) = a* + 2a? x 3 x* + 2x? x...

 

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Let, f (a) = a* + 2a? – x – 3 x* + 2x? – x – 3 91 (x) = (*+ 3 – æ4 2 x + 3 2. 92 (a) x2 + 2 3x4 + 2x? + 3 93 (x) 4x3 + 4x – 1 (b) Perform 4 iterations (upto 4, if possible) with ao = land the recursion relation xn+1 = g (xn )for each g. Comment on the root in each case. (c) Which g (x) gives the best approximation? Explain why. Let, f (a) = a* + 2a? – x – 3 x* + 2x? – x – 3 91 (x) = (*+ 3 – æ4 2 x + 3 2. 92 (a) x2 + 2 3x4 + 2x? + 3 93 (x) 4x3 + 4x – 1 (b) Perform 4 iterations (upto 4, if possible) with ao = land the recursion relation xn+1 = g (xn )for each g. Comment on the root in each case. (c) Which g (x) gives the best approximation? Explain why.