Quandaries and Queries


Who is asking: Teacher
Level: Secondary

Is it possible for me to find any geometrical interpretation without using calculus to explain indeterminate forms?

Thank you very much for your help.




Here are two examples.

  1. Graph y = (x2 - 1) / (x-1)

  2. Inscribe a regular n-gon in a circle. The area of 1/n th of the circle (namely pi/n) is approximately equal to the area of 1/n th of the n-gon (namely (1/2)sin (2pi/n)). In other words, the ratio sin (2pi/n) over (2pi/n) goes to 1 as n goes to infinity.



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