Module 4 Using TI-89 or Voyage 200 to Explore the Concept of Limit
Module 4 Using TI-89 or Voyage 200 to Explore the Concept of Limit
Module 4 Using TI-89 or Voyage 200 to Explore the Concept of Limit
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• Select <strong>the</strong> lower bound by pressing<br />
• Move <strong>the</strong> curs<strong>or</strong> until it is just <strong>to</strong> <strong>the</strong> right <strong>of</strong> <strong>the</strong> intersection<br />
• Select <strong>the</strong> upper bound by pressing<br />
The x-co<strong>or</strong>dinate <strong>of</strong> this intersection point is approximately 3.13667.<br />
You can conclude that if x is between 2.87 and 3.13666, <strong>the</strong>n y will be within 0.1 <strong>of</strong> 2. But that<br />
was not <strong>the</strong> <strong>or</strong>iginal question.<br />
The <strong>or</strong>iginal question was<br />
How close should x be <strong>to</strong> 3 <strong>to</strong> ensure that y is within 0.1 <strong>of</strong> 2<br />
It looks like <strong>the</strong>re are two different answers. The left value <strong>of</strong> 2.87 is within 0.13 <strong>of</strong> 3. The right<br />
value <strong>of</strong> 3.13666 is within 0.13667 <strong>of</strong> 3.<br />
4.1.1 Which value <strong>of</strong> x, 0.13 <strong>or</strong> 0.13666, will ensure that y is within 0.1 <strong>of</strong> 2<br />
Smaller Tolerances<br />
4.1.2 F<strong>or</strong> f(x) = , how close should x be <strong>to</strong> 3 so that y is within 0.01 <strong>of</strong> 2
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