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Chapter 1: Q. 20 (page 153)
Evaluate the limit of the expression
The limit of the expression is 0.
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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 .
Write delta-epsilon proofs for each of the limit statements in Exercises
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.
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 = 2 but not continuous at x = 2, and f(2) = 3.
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