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Home > PC3 > Chapter 8 > Lesson 8.3.2 > Problem 8-105

8-105.

Let . Evaluate:   

  1. The limit must approach the same height from both sides in order to exist.

  1. Which piece of the function should you use?

  1. Is the function continuous at ? Use the formal definition of continuity to justify your answer.

    For a function to be continuous at a point, the one-sided limits must agree and they must equal the value of the function at that point.

  2. Is the function continuous at ? Use the formal definition of continuity to justify your answer.