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Chapter 1: Q. 72 (page 108)
For each of the limit statements in Exercises 61-66, write a , or proof, according to the type of limit statement.
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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.
State what it means for a functionf to be continuous at a point x = c, in terms of the delta鈥揺psilon definition of limit.
For each limit statement , use algebra to find 未 > 0 in terms of > 0 so that if 0 < |x 鈭� c| < 未, then | f(x) 鈭� L| < .
For each limit statement , use algebra to find 未 > 0 in terms of > 0 so that if 0 < |x 鈭� c| < 未, then | f(x) 鈭� L| < .
Write a delta鈥揺psilon proof that proves that is continuous on its domain. In each case, you will need to assume that 未 is less than or equal to .
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