For f(x) = x3− 2x + 2, write the formula for Newton’s method for this specific function with xn+1 expressed as a function of xn. Then use Newton’s method to find x2 through x5 (rounded to six places past the decimal when applicable) for both x1 = 0 and x1 = −2. These calculations may be done in a calculator without showing work on the page. In each case, describe in words the behavior of the sequence of approximations and whether or not the sequence of approximations appears to converge to a root. must show all steps
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