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Chapter 1: Q. 12 (page 153)
Consider the limit expression
Calculate the limit.
The limit of the expression is.
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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.
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 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| < .
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