Chapter 1: Q. 16 (page 87)
Sketch a function that has the following table of values, but whose limit as is equal to :

Short Answer
The graph is :

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Chapter 1: Q. 16 (page 87)
Sketch a function that has the following table of values, but whose limit as is equal to :

The graph is :

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Write a delta–epsilon proof that proves that is continuous on its domain. In each case, you will need to assume that δ is less than or equal to .
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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If is a continuous function, what can you say about
Write each of the inequalities in interval notation:
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