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Exploring Limits Through Tables and Graphs for Calculus Study

Learn how to find limits through tables and graphs, including one-sided limits, to determine the existence of limits. Practice constructing tables and interpreting various graph values. Develop your calculus skills effectively.

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Exploring Limits Through Tables and Graphs for Calculus Study

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  1. Finding Limits Using Tables and Graphs Sections 11.1

  2. Objectives • Find limits using tables. • Find limits using graphs. • Find one-sided limits and use them to determine if a limit exists.

  3. Vocabulary • limit • limit notation • one-sided limits • calculus

  4. Construct a table to find

  5. Construct a table to find

  6. Construct a table to find

  7. Construct a table to find

  8. Using the graph of f(x) below, find the indicated values (if they exist)

  9. Using the graph of f(x) below, find the indicated values (if they exist)

  10. Graph the function and then find the indicated limit, if it exists.

  11. Graph the function and then find the indicated limit, if it exists.

  12. Graph the function and then find the indicated limit, if it exists.

  13. Use the equation for the function f to find and graph the function y = f -1(x). Then use the graph of f -1 to find the indicated limit

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