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2-120.

For each part below, draw a graph of a function that meets the given conditions, if possible. If such a function is not possible, explain why not.

  1. is discontinuous at , but exists.

  2. is continuous at , but does not exist.

    Check the 3 conditions for continuity.

  3. is discontinuous at , and does not exist.

    Limits exist when both sides approach the same finite value. What does it mean for a limit to not exist?