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Chapter 1: Q. 62 (page 149)
Calculate each limit in Exercises 35鈥�80.
The limit is
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State what it means for a function f to be right continuous at a point x = c, in terms of the delta鈥揺psilon definition of limit.
Sketch the graph of a function f described in Exercises 27鈥�32, if possible. If it is not possible, explain why not.
f is left continuous at x = 1 and right continuous at x = 1, but is not continuous at x = 1, and f(1) = 鈭�2.
For each functionf graphed in Exercises23鈥�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.
Write delta-epsilon proofs for each of the limit statements in Exercises .
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Write delta-epsilon proofs for each of the limit statements in Exercises .
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