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Chapter 1: Q. 27 (page 153)
Indeterminate forms: Identify which of the limit forms listed here are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form.
The given form is not indeterminate and the behavior of a limit of the form
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Write delta-epsilon proofs for each of the limit statements in Exercises
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| < .
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 functionf graphed in Exercises23–26, 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.
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