Bisection method.ipynb

Kernel: Python 3 (system-wide)

In this activity we have a given function f(x) = ln(x)-sin(x) in the interval (2,4). We need to use the bisection method to find the root of the function.

def bisection(a,b,f,err):
    c=(a+b)/2
    while c-a> err:
        if f(c)==0:
            return n
        elif f(c)*f(a)>0:
            a=c
        else:
            b=c
        c=(a+b)/2
    return c

def f(x):
    return log(x)- sin(x)

bisection(2,4,f,0.01)

I do not know what to do exactly I tried to figure out the root using the code I can not find but I would guess that the root is 2.0454546 from what I see on my graphing calculator when I graph the function.