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Yale University

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Problem 67

Jewelry A jeweler resizes a ring so that its inner circumference is 6 centimeters.
(a) What is the radius of the ring?
(b) The inner circumference of the ring varies between 5.5 centimeters and 6.5 centimeters. How does the radius $\quad$ vary?
(c) Use the $\varepsilon-\delta$ definition of limit to describe this situation. Identify $\varepsilon$ and $\delta .$

a) 9.55
b) 0.875
1.035
c) $\delta=\frac{\epsilon}{2 \pi}$

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