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Chapter 1: Q. 71 (page 149)
Calculate each limit in Exercises 35鈥�80.
The limit is 0
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Write delta-epsilon proofs for each of the limit statements in Exercises .
.
In Exercises 39鈥�44, use Theorem 1.16 and left and right limits to determine whether each function f is continuous at its break point(s). For each discontinuity of f, describe the type of discontinuity and any one-sided discontinuity.
Calculate each of the limits:
.
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 limit in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.
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