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Chapter 1: Q. 8 (page 153)
Consider the limit expression
Find the limit.
The limit of the expression is.
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State what it means for a functionf to be continuous at a point x = c, in terms of the delta鈥揺psilon definition of limit.
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.
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 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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