Newton's Method to Approximate the X-Value of the Indicated Point $\text { successive approximations differ by less than } 0.001 \text {. [Hint: Let } h ( x ) = f ( x ) - g ( x ) \text {.] }$

Multiple Choice

Newton's Method to approximate the x-value of the indicated point of intersection of the two graphs accurate to three decimal places.Continue the process until two $\text { successive approximations differ by less than } 0.001 \text {. [Hint: Let } h ( x ) = f ( x ) - g ( x ) \text {.] }$
$\begin{array}{l}f(x) =3-x \\g(x) =\frac{1}{\sqrt{x^{2}+4}}\end{array}$

A) 2.651
B) 2.703
C) 2.660
D) 2.764
E) 2.600