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[DOC File]1-3 Continuity, End Behavior, and Limits
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Determine whether each function is continuous at the given x-value(s). Justify using the continuity test. If discontinuous, identify the type of discontinuity as infinite, jump, or removable. 2. If a function is continuous, you can approximate the location of its zeros by using the _____and its corollary _____.
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[DOC File]Related Rates - Tredyffrin/Easttown School District
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In Lesson on Infinite Limits we looked at some rational functions such as and showed that and . We required an analysis of the end behavior of since computing the limit by direct substitution yielded the indeterminate form . Our approach to compute the infinite limit was to look at actual values of …
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[DOC File]A
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Getting familiar with the graphing calculator. Graphing. Windows, and zoom. Solving equations Chapter 2: Limits and Continuity (9 days) Limits: Limit at a point, limit at infinity, infinite limits. Properties of limits. Continuity. Rate of change. Tangent line to a curve. Slope of a curve at a point Chapter 3: Derivatives (14 days) Definition ...
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Chapter 1: Limits and Their Properties
Chapter 8: Infinite Series (4-5 weeks, 2 tests, daily quizzes; cumulative exam) • Convergence and divergence of sequences • Definition of a series as a sequence of partial sums • Convergence of a series defined in terms of the limit of the sequence of partial sums of a series
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[DOC File]Extrema and the Mean Value Theorem
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In Lesson on Infinite Limits we looked at some rational functions such as and showed that and . We required an analysis of the end behavior of since computing the limit by direct substitution yielded the indeterminate form . Our approach to compute the infinite limit was to look at actual values of …
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[DOC File]Infinite Limits At Infinity
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Notice the relationship between the limit of the infinite limit at infinity and the horizontal asymptote. Key: The value of the infinite limit is the horizontal asymptote. So to find a horizontal asymptote, calculate the limit as x approaches infinity by dividing by the highest power of x. Practice Questions: Find the horizontal asymptote of . b. .
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[DOC File]AP CALCULUS AB
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LIMIT WORKSHEET #2. Find the indicated limit. Answers: 1 1 . 0 0 . 2 . 4 1 . 0 AP CALCULUS AB. LIMIT WORKSHEET #3. Find the indicated limit. where ; (Graphically) Find the interval for which the function is continuous. Find the discontinuities (if any) for the given function. State whether they are Removable, Nonremovable Jump or Nonremovable ...
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[DOC File]Computer Mathematics and the Graphing Calculator
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The only limit to the number of lines in the body is the RAM available in your calculator. The End command marks the bottom of the loop and acts like a recycle switch, sending the program execution back to the top of the loop to add on the step and to test the …
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[DOC File]Assignments Limits
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e. If direct substitution of a limit gives the form , does this automatically mean the limit DNE? f. If direct substitution of a limit gives the form , will we always be able to “fix” the function to find the limit? 6. Kenny had to evaluate . a. Kenny noticed the denominator goes to 0 and wrote “DNE.” What happened? b.
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[DOC File]M160 Final Exam Study Guide - Open Computing Facility
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1. Use algebra and the limit theorems (NOT a calculator and NOT L’Hôpital’s Rule) to evaluate the following limits. If a limit does not exist or the limit is infinite, explain how you know.
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Infinite limit calculator