Chapter 1: Q. 35 (page 107)
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| < .
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Chapter 1: Q. 35 (page 107)
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| < .
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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.
Use what you know about one-sided limits to prove that a function is continuous at a point if and only if it is both left and right continuous at .
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 , use algebra to find δ > 0 in terms of > 0 so that if 0 < |x − c| < δ, then | f(x) − L| < .
Write a delta–epsilon proof that proves that is continuous on its domain. In each case, you will need to assume that δ is less than or equal to .
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