Chapter 1: Q. 52 (page 149)
Calculate each limit in Exercises 35–80.
Short Answer
The limit is 0.
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Chapter 1: Q. 52 (page 149)
Calculate each limit in Exercises 35–80.
The limit is 0.
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Write delta-epsilon proofs for each of the limit statements in Exercises .
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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 .
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.

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