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Understanding Limits and Definitions in Calculus: A Comprehensive Quiz Series

This set of quizzes focuses on key calculus concepts, including determining limits and understanding foundational definitions. Quiz #1 involves analyzing graphs to derive function values. Quiz #2 and #3 challenge you to evaluate limits, with instructions to note when limits do not exist (DNE). Quiz #4 tests your knowledge of definitions with fill-in-the-blank questions. Quiz #5 explores the behavior of derivatives between two points. Finally, Quiz #7 requires you to fill in 10 blanks based on previous material. Sharpen your calculus skills with this engaging quiz series!

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Understanding Limits and Definitions in Calculus: A Comprehensive Quiz Series

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  1. Quiz #1 Using the graph, determine the following: 6 f(x) 4 2 –2 2 5 –2

  2. Quiz #2 Determine the following limits. If the limit does not exist, write DNE.

  3. Quiz #3 Determine the following limits. If the limit does not exist, write DNE.

  4. Quiz #4 Fill in the blanks to complete the following definitions. For all _____ there exist a _____ such that | _____ - _____ | < _____ whenever | _____ - _____ | < _____ • _____ is defined. • _____ exists. • _____ = _____

  5. Quiz #5 • f ’(a) = _______ • f ’(b) = _______ • What can be said about f ’(x) between a and b? _______ a b

  6. Quiz #6

  7. Quiz #7 Fill in the 10 blanks.

  8. Quiz #7 – Answers! Fill in the blanks.

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