Chapter 1: Q. 18 (page 153)
Limits of basic functions: Fill in the blanks to complete the limit rules that follow. You may assume that k is positive.
Short Answer
The value of the limit is
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Chapter 1: Q. 18 (page 153)
Limits of basic functions: Fill in the blanks to complete the limit rules that follow. You may assume that k is positive.
The value of the limit is
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Calculate each of the limits:
.
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 is continuous on its domain. In each case, you will need to assume that δ is less than or equal to .
Calculate each of limits:
.
In Exercises 39–44, use Theorem 1.16 and left and right limits to determine whether each function f is continuous at its break point(s). For each discontinuity of f, describe the type of discontinuity and any one-sided discontinuity.
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