1. The problem statement, all variables and given/known data Bessel's funtion J0(x) is assumed to have a root near x=5. Use the newton raphson method to find this root to 3 decimal places by taking the first 4 terms of the series. I have found this link which helps me solve the question: http://www.vibrationdata.com/Newrap.pdf PLEASE LOOK AT PAGES 15-16 2. Relevant equations newton raphson equation: x= a- f(a)[tex]/[/tex] f'(a) 3. The attempt at a solution well I assume that as the root is near x=5, my first value that I substitute into the newton raphson equation should be 5. However, I get the value 3.895752124 which i do not think is right. The table of values on page 16 of the link I have attached are the correct values I should have obtained, but I do not know where I am going wrong. Can anyone confirm the values I should expect to obtain?