Chapter 1: Q. 56 (page 136)
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Chapter 1: Q. 56 (page 136)
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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 .
Write a delta–epsilon proof that proves that f is continuous on its domain. In each case, you will need to assume that δ is less than or equal to 1.
For each limit in Exercises 33–38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.
Calculate each of the limits:
.
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