Chapter 1: Q. 59 (page 88)
Sketch graphs by hand and use them to make approximations for each of the limits in Exercises 53–66. If a two-sided limit does not exist, describe the one-sided limits
Short Answer
The value is and graph is,
Chapter 1: Q. 59 (page 88)
Sketch graphs by hand and use them to make approximations for each of the limits in Exercises 53–66. If a two-sided limit does not exist, describe the one-sided limits
The value is and graph 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.
For each limit in Exercises 43–54, use graphs and algebra to approximate the largest value of such that if
Use algebra to find the largest possible value of δ or smallest possible value of N that makes each implication true. Then verify and support your answers with labeled graphs.
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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