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Chapter 1: Q. 1 (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 functionf graphed in Exercises23鈥�26, describe the intervals on whichf is continuous. For each discontinuity off, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.
Write each of the inequalities in interval notation:
Sketch a labeled graph of a function that satisfies the hypothesis of the Extreme Value Theorem, and illustrate on your graph that the conclusion of the Extreme Value Theorem follows.
For each limit statement , use algebra to find 未 > 0 in terms of > 0 so that if 0 < |x 鈭� c| < 未, then | f(x) 鈭� L| < .
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