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Chapter 1: Q. 25 (page 135)
Calculate the limits in Exercises 25鈥�28, using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply.
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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 functionf graphed in Exercises23鈥�26, describe the intervals on whichf is continuous. For each discontinuity off, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.
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.
Sketch the graph of a function f described in Exercises 27鈥�32, if possible. If it is not possible, explain why not.
f is left continuous at x = 2 but not continuous at x = 2, and f(2) = 3.
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