Quandaries and Queries
 

 

Who is asking: Teacher
Level: Secondary

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

Thank you very much for your help.

 

 

Hi,

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.

Chris

 
 

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