(a) Consider the iterative formula 10 =1, I1 = 2 and 1+1 = In + Find 12 and evaluate lim In. (1+2=3 marks) (6 - )(=n-In-
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(a) Consider the iterative formula 10 =1, I1 = 2 and 1+1 = In + Find 12 and evaluate lim In. (1+2=3 marks) (6 - )(=n-In-
(a) Consider the iterative formula 10 =1, I1 = 2 and 1+1 = In + Find 12 and evaluate lim In. (1+2=3 marks) (6 - )(=n-In-1) for n 1. el-el- TI +20 0,11 = -1/6 and - (b) Consider the function f(1) = sin r. (1) Find the Lagrange form of the polynomial P, (2) that interpolates f at to y = -1/2 (ii) Use the polynomial that you found in part (i) to approximate f(-1/3). (3+1=4 marks)
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