1. The problem statement, all variables and given/known data Using Newton-Raphson's method, find the solution to the equation x = tan x in the interval [tex]\pi[/tex]/2 to 3[tex]\pi[/tex]/2. Find an interval, in which any starting value generates a sequence that converges to the solution . 2. Relevant equations Newton Raphson's Method 3. The attempt at a solution By trial and error method and the aid of MAPLE software, I found the interval to be [4.28765790535, 4.71238871734] Is it possible to solve the question without using trial and error method? The newton raphson equation is a sequence, so in my opinion, the sequence is only convergent for certain range of x. The range require by the question would be the range fall within the interval of the solution. Is this method feasible? Can anyone give me hints or external reference to solve this question?