Chapter 1: Q. 25 (page 88)
Consider the limit values below:
The strategy is to sketch the graph of the function having the above limit values.
Short Answer
The graph obtained is
Chapter 1: Q. 25 (page 88)
Consider the limit values below:
The strategy is to sketch the graph of the function having the above limit values.
The graph obtained is
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Get started for freeSketch 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 statement , use algebra to find δ > 0 in terms of > 0 so that if 0 < |x − c| < δ, then | f(x) − L| < .
Write delta-epsilon proofs for each of the limit statements in Exercises .
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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 .
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