MTH251 Calculus 1 Fall 2018 > Chapter 4: Applications of Derivatives> Section 4.6 Limits at Infinity and Asymptotes

Section 4.6 Limits at Infinity and Asymptotes

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Section 4.6 Limits at Infinity and Asymptotes

Text for Section 4.6 Limits at Infinity and Asymptotes

Learning Objectives

  • Calculate the limit of a function as xincreases or decreases without bound.
  • Recognize a horizontal asymptote on the graph of a function.
  • Estimate the end behavior of a function as x increases or decreases without bound.
  • Recognize an oblique asymptote on the graph of a function.
  • Analyze a function and its derivatives to draw its graph.
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