Estimate the Value Of $\sqrt[3]{11}$ By Using Three Iterations of Newton's Method to Solve the Newton's

Multiple Choice

Estimate the value of $\sqrt[3]{11}$ by using three iterations of Newton's method to solve the equation $x^{3}-11=0$ with initial estimate $x_{0}=2 \text {. }$ Round your final estimate to four decimal places.

A) 3.3166
B) 2.253
C) 3.2605
D) 2.224