The equation x tan x = 4 was considered earlier in Example 9.16. Apply the Newton–Raphson method to find the root near x = 1.

Data from Example 9.16

The equation x tan x = 4 has an infinite number of roots. To find the root near x = 1, we may use the iteration

Show that this is a first-order process. Starting with x₀ = 1, find x₃ and assess its accuracy.

Transcribed Image Text:

Xn+1 tan = +| Xn