Evaluate the limit of the piecewise function

The video tutorial explains a special case of piecewise functions, focusing on graphing the function X^2 + 1 for all values except X=0, where it equals 3. The instructor discusses the concept of discontinuity, highlighting the hole at X=0 and its implications for limits and continuity. The tutorial also covers evaluating the function at X=0 and understanding its significance in the context of piecewise functions.

What new insight or understanding did you gain from this video?