Chapter 1: Q. 42 (page 88)
Use tables of values to make educated guesses for each of the limits in Exercises 39–52.
Short Answer
The value of the limit does not exist.
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Chapter 1: Q. 42 (page 88)
Use tables of values to make educated guesses for each of the limits in Exercises 39–52.
The value of the limit does not exist.
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Calculate each of the limits:
For each limit statement, use algebra to find δ or N in terms of or M, according to the appropriate formal limit definition.
find δ in terms of .
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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