Question

Consider the function f(x) = 3x + sin(x) − e x . (1.1) Use the bisection method to determine a root of f(x) in the interval (0.0, 0.5), using up to ten iterations.

Answer 1

Due to the bisection method we change the interval so that the values of f on its ends are of different signs:

The solution is $x\approx 0.3606$