Chapter 1: Q. 56 (page 136)
Short Answer
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Chapter 1: Q. 56 (page 136)
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Calculate each of the limits:
.
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 limit statement , use algebra to find δ > 0 in terms of > 0 so that if 0 < |x − c| < δ, then | f(x) − L| < .
For each of the following sign charts, sketch the graph of a function f that has the indicated signs, zeros, and discontinuities:

Write each of the inequalities in interval notation:
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