The curve C C\,C has the equation y=(10−x)lnxx>0y = (10 - x) \ln x \quad x > 0y=(10−x)lnxx>0
Use the iteration formula xn+1=101+lnxn\displaystyle x_{n+1} = \frac{10}{1 + \ln x_n}xn+1=1+lnxn10 with x0=3.75x_0 = 3.75x0=3.75 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.