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Chapter 1: Q. 30 (page 107)
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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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.
For each of the following sign charts, sketch the graph of a function f that has the indicated signs, zeros, and discontinuities:
For each limit in Exercises 43鈥�54, use graphs and algebra to approximate the largest value of such that if localid="1648023101818"
localid="1648023199049" role="math"
For each function f graphed in Exercises 23鈥�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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