Limits and Continuous Functions - Exercises with solutions 4 PDF





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LEARNING OBJECTIVES

  • Understand the concept of (and notation for) a limit of a rational function at a point in its domain, and understand that “limits are local.”
  • Evaluate such limits.
  • Distinguish between one-sided (left-hand and right-hand) limits and two-sided limits  and what it means for such limits to exist.
  • Use numerical / tabular methods to guess at limit values.
  • Distinguish between limit values and function values at a point.
  • Understand the use of neighborhoods and punctured neighborhoods in the evaluation of one-sided and two-sided limits.
  • Evaluate some limits involving piecewise-defined functions.


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