Chapter 1: Q. 22 (page 153)
Limits of combinations: Fill in the blanks to complete the limit
rules that follow. You may assume that k and c are any real
numbers and that both exist.
Short Answer
The value of the limit is
Chapter 1: Q. 22 (page 153)
Limits of combinations: Fill in the blanks to complete the limit
rules that follow. You may assume that k and c are any real
numbers and that both exist.
The value of the limit is
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Get started for freeFor each limit in Exercises 33–38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.
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 .
Write delta-epsilon proofs for each of the limit statements in Exercises .
.
Sketch a labeled graph of a function that fails to satisfy the hypothesis of the Intermediate Value Theorem, and illustrate on your graph that the conclusion of the Intermediate Value Theorem does not necessarily hold.
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.
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