Chapter 1: Q. 36 (page 120)
For each limit in Exercises 33–38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.
Short Answer
The limit exists and it is equal to 81.
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Chapter 1: Q. 36 (page 120)
For each limit in Exercises 33–38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.
The limit exists and it is equal to 81.
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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 , use algebra to find δ > 0 in terms of > 0 so that if 0 < |x − c| < δ, then | f(x) − L| < .
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
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.
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