Numerical Method - Old Questions

5. Find the roots of the following equations using Newton’s method.

     log x – cos x = 0

Given,

Let the initial guess be 0.5.

Now, let us calculate the root using tabular form.

Here, the 4^th and 5^th iteration has same value of x₂ up to 2 decimal place, so that root of given equation is 1.42.