Show that there is a root of f(x)=0f(x) = 0f(x)=0 in the interval 2<x<32 < x < 32<x<3.
Use the iterative formula
xn+1=ln(xn+2)+1,x0=2.5, x_{n+1} = \ln(x_n + 2) + 1, \quad x_0 = 2.5, xn+1=ln(xn+2)+1,x0=2.5,to calculate the values of x1x_1x1, x2 x_2\,x2 and x3x_3x3, giving your answers to 5 decimal places.
Show that x=2.505x = 2.505x=2.505 is a root of f(x)=0f(x) = 0f(x)=0 correct to 3 decimal places.
7 exam-style questions on Edexcel A Level Old Maths Numerical Methods. Each one has a worked solution and a mark scheme showing where the marks go.