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Using Newton's method, try to find a root of f(x)=7x1/7 that is near x=0 using an initial approximation x0​=1. Which of the following statements describes what happens? Select the correct answer below: At one of the approximations x1​. we have f′(xn​)=0 but f(xW​)=0 The approximations fail to approach a root at all. The approximations approach a root outside the interval. The approximations successfully approach the desired root.
For the equation given below, one could use Newton's method as a way to approximate the solution. Find Newton's formula as xn+1​=F(xn​) that would enable you to do so. sin(x)=−3x−9 Provide your answer below: xe+1​=