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Chapter 1: Q. 13 (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 of the limit
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Each function in Exercises 9–12 is discontinuous at some value x = c. Describe the type of discontinuity and any one-sided continuity at x = c, and sketch a possible graph of f.
State what it means for a function f to be left continuous at a point x = c, in terms of the delta–epsilon definition of limit.
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| < .
Calculate each of the limits:
.
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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