Apply Newton's Method to Approximate the X-Value of the Indicated $f ( x ) = x \text { and } g ( x ) = \tan x \text { Continue the process until two successive approximations }$

Multiple Choice

Apply Newton's Method to approximate the x-value of the indicated point of intersection of $f ( x ) = x \text { and } g ( x ) = \tan x \text { Continue the process until two successive approximations }$ differ by less than 0.001. (Hint: Let $h ( x ) = f ( x ) - g ( x )$ .) Round your answer to three decimal places.

A) $5.494$
B) $8.725$
C) $6.494$
D) $7.725$
E) $4.641$