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

8-105.
  1. Let . Evaluate: Homework Help ✎

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

    2. Is the function continuous at x = 5? Use the formal definition of continuity to justify your answer.

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

Which piece of the function should you use?

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.