Chapter 1: Q. 17 (page 87)
Sketch a function that has the following table of values, but whose limit as x → 2 does not exist:
Short Answer
The graph is :
Chapter 1: Q. 17 (page 87)
Sketch a function that has the following table of values, but whose limit as x → 2 does not exist:
The graph is :
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Get started for freeWrite 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 .
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| < .
For each limit in Exercises 33–38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.
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