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Chapter 1: Q. 5 (page 153)
Calculating limits: Find each limit by hand.
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The answer of the limit is.
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In Exercises 39–44, 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.
Write delta-epsilon proofs for each of the limit statements in Exercises .
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Sketch the graph of a function f described in Exercises 27–32, if possible. If it is not possible, explain why not.
f is left continuous at x = 2 but not continuous at x = 2, and f(2) = 3.
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.
State what it means for a function f to be right continuous at a point x = c, in terms of the delta–epsilon definition of limit.
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