If a function f is continuous at a andthen the curve y = f(x) has a vertical tangent line at a and the equation of the tangent line is x = a. If a is an endpoint of a domain, then the appropriate one-sided derivative is used. Use this information to answer the following questions.

Verify that f(x) = x^1/3 has a vertical tangent line at x = 0.

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lim | f'(x)| =