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Chapter 1: Q. 14 (page 153)
Limits of basic functions: Fill in the blanks to complete the limit rules that follow. You may assume that is positive.
The value is
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For each limit statement , use algebra to find δ > 0 in terms of > 0 so that if 0 < |x − c| < δ, then | f(x) − L| < .
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 statement , use algebra to find δ > 0 in terms of > 0 so that if 0 < |x − c| < δ, then | f(x) − L| < .
For each limit statement , use algebra to find δ > 0 in terms of > 0 so that if 0 < |x − c| < δ, then | f(x) − L| < .
State what it means for a function f to be right continuous at a point x = c, in terms of the delta–epsilon definition of limit.
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