# Limits and Continuous Functions - Exercises with solutions 6 PDF

### 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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#### MATHS

TAGS: Limits and Continuous Functions , Introduction to Limits , Properties of Limits , Limit point , Continuous at point , Left and right limits , Limits and Infinity I Horizontal Asymptotes (HAs) , Limits and Infinity II Vertical Asymptotes (VAs) , The Indeterminate Forms , The Squeeze (Sandwich) Theorem , Precise Definitions of Limits , Continuity , Mathantics , Maths , Course , Course , Exam whit solution , Exercises with solutions , math problems , math help , math tutor , be online academy , study online , online education , online education programs , online tech schools , online study courses , learning online , good online schools.
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