Strange behavior near x = 0a. Create a table of values of tan(3/x) for x = 12/π, 12/(3π),...

Strange behavior near x = 0

a. Create a table of values of tan(3/x) for x = 12/π, 12/(3π), 12/(5π), …, 12/(11π) Describe the general pattern in the values you observe

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b. Use a graphing utility to graph y = tan(3/x). Why does a graphing utility have difficulty plotting the graph near x = 0 ?

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c. What do you conclude about ?