f(x)=ex+2+x−11f(x) = e^{x+2} + x - 11f(x)=ex+2+x−11
Use the iteration formula xn+1=ln(11−xn)−2x_{n+1} = \ln(11 - x_n) - 2xn+1=ln(11−xn)−2 with x0=0.5x_0 = 0.5x0=0.5 to find, to 3 decimal places, the values of x1,x2 x_1, x_2\,x1,x2 and x3x_3x3.
329 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.