Evaluate the limit of a piecewise function

The video tutorial explains how to determine the limit of a function as X approaches zero. It emphasizes that for a limit to exist, the left-hand and right-hand limits must be equal. The tutorial demonstrates calculating these limits using the functions X^3 and sqrt(X) and shows that direct substitution can be used since both functions are continuous. The conclusion is that the limit is zero as both sides approach zero.

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