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Chapter 1: Q. 98 (page 137)
Use the quotient rule for limits and the continuity of and to prove that is continuous on its domain.
It is proved that is continuous on its domain.
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Write delta-epsilon proofs for each of the limit statements in Exercises .
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Each function in Exercises 9鈥�12 is discontinuous at some value x = c. Describe the type of discontinuity and any one-sided continuity at x = c, and sketch a possible graph of f.
In Exercises 39鈥�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 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.
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