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,

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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 statement in Exercises , use algebra to find or in terms of or , according to the appropriate formal limit definition.
,findin terms of.
State what it means for a function f to be left continuous at a point x = c, in terms of the delta–epsilon definition of limit.
Write delta-epsilon proofs for each of the limit statements in Exercises .
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Write delta-epsilon proofs for each of the limit statements in Exercises .
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