*21. Prove that if |x - xol < min and ly – yol < 2(1yol +1) ' 2(\xol + 1)' then |xy – xoyol < 8. (The notation “min" was defined in Problem 13, but the formula provided by that problem is irrelevant at the moment; the first inequality in the hypothesis just means that |x - xol < and x – xol < 1; 2(\yol +1) at one point in the argument you will need the first inequality, and at an- other point you will need the second. One more word of advice: since the hypotheses only provide information about x – xo and y – yo, it is almost a foregone conclusion that the proof will depend upon writing xy – xoyo in a way that involves x – xo and y – yo.)
*21. Prove that if |x - xol < min and ly – yol < 2(1yol +1) ' 2(\xol + 1)' then |xy – xoyol < 8. (The notation “min" was defined in Problem 13, but the formula provided by that problem is irrelevant at the moment; the first inequality in the hypothesis just means that |x - xol < and x – xol < 1; 2(\yol +1) at one point in the argument you will need the first inequality, and at an- other point you will need the second. One more word of advice: since the hypotheses only provide information about x – xo and y – yo, it is almost a foregone conclusion that the proof will depend upon writing xy – xoyo in a way that involves x – xo and y – yo.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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