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Finding Limits: Graphical and Numerical Approaches in Calculus

Understanding limits is fundamental to calculus, serving as the foundation for derivative concepts. This section explores how to find limits both graphically and numerically. Through various examples, including tables of values and function graphs, we illustrate methods to estimate limits and confirm findings visually. You'll learn how to apply these techniques in real scenarios and understand the implications when limits do not exist (DNE). Dive into the importance of limits in calculus and their role in analyzing function behavior at specific points.

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Finding Limits: Graphical and Numerical Approaches in Calculus

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  1. Section 2.2 Finding Limits Graphically & Numerically

  2. What’s the point of Calculus?

  3. What’s the point of Calculus?

  4. What’s the point of Calculus?

  5. What’s the point of Calculus?

  6. The Concept of a “Limit”

  7. Example 1 Use a table of values to estimate the limit. Confirm graphically.

  8. Example 2 (#18-26 even in your book)

  9. Example 2 (cont.) (#18-26 even in your book)

  10. Example 2 (cont.) (#18-26 even in your book)

  11. Example 3 (#28 in your book)

  12. Example 4 (#30 in your book) Use the graph of to identify the values of for which exists.

  13. Example 5 Sketch a graph of a function with the given properties. DNE

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