Suppose f(x) = ³√x is to be approximated near x = 8. Find the linear approximation to f at 8. Then complete the following table, showing the errors in various approximations. Use a calculator to obtain the exact values. The percent error is 100|approximation - exact|/ |exact|. Comment on the behavior of the errors as x approaches 8.

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Linear approx. Percent error Exact value 8.1 8.01 8.001 8.0001 7.9999 7.999 7.99 7.9