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Chapter 1: Q. 3 (page 153)
Limits of basic functions: Fill in the blanks to complete the limit rules that follow. You may assume that k is positive
The value is
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Write delta-epsilon proofs for each of the limit statements in Exercises .
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For each function f graphed in Exercises 23–26, describe the intervals on which f is continuous. For each discontinuity of f, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.
Write delta-epsilon proofs for each of the limit statements in Exercises .
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Write a delta–epsilon proof that proves that is continuous on its domain. In each case, you will need to assume that δ is less than or equal to .
Sketch a labeled graph of a function that fails to satisfy the hypothesis of the Extreme Value Theorem, and illustrate on your graph that the conclusion of the Extreme Value Theorem does not necessarily hold.
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