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Problem 4 You are given the function f(x) = 1/(1 3x2) a) Evaluate the function at x = 0.577 using 3-, 4-,7-, 16-, and 32-digit arithmetic with chopping b) Compute the estimated percent relative errors for the different solutions c) What type of numerical error does this question illustrate? What is a viable remedy for this type of numerical error? d) Often Taylor series (with first or higher order terms) is used for evaluating functions. Would be a helpful methodology for the given function? Why or why not? 2