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Chapter 1: Q. 7 (page 148)
Determine which of the given forms are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form.
.
is the indeterminate form.
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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 in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.
State what it means for a functionf to be continuous at a point x = c, in terms of the delta鈥揺psilon definition of limit.
Write a delta鈥揺psilon proof that proves that f is continuous on its domain. In each case, you will need to assume that 未 is less than or equal to 1.
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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