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Chapter 1: Q. 22 (page 153)
Find the limit by hand.
On solving the limit, we get, .
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Sketch a labeled graph of a function that satisfies the hypothesis of the Extreme Value Theorem, and illustrate on your graph that the conclusion of the Extreme Value Theorem follows.
For each limit in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.
For each limit statement , use algebra to find 未 > 0 in terms of > 0 so that if 0 < |x 鈭� c| < 未, then | f(x) 鈭� L| < .
For each limit statement, use algebra to find 未 or N in terms of or M, according to the appropriate formal limit definition.
find 未 in terms of .
Write delta-epsilon proofs for each of the limit statements in Exercises
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