A-Level Maths Edexcel (9MA0)

#1.9.2 Iteration

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Solve equations approximately using simple iterative methods; be able to draw associated cobweb and staircase diagrams.

Understand that many mathematical problems cannot be solved analytically, but numerical methods permit solution to a required level of accuracy.

Use an iteration of the form xn+1=f(xn)x_{n+1} = f(x_n) to find a root of the equation x=f(x)x = f(x) and show understanding of the convergence in geometrical terms by drawing cobweb and staircase diagrams.