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    Re: Pi Problem for CN
    From: Tom Sult
    Date: 2015 Mar 21, 08:37 -0500
    Ok. I just pulled out my spherical trig book. Took several passes but I (think)... I got it. 

    40+ years since trig or calc. And not in a profession that uses it. 

    Tom Sult, MD
    Author: JUST BE WELL

    On Mar 21, 2015, at 04:16, Norm Goldblatt <NoReply_Goldblatt@fer3.com> wrote:


    As an ex-teacher, I would take points off for not showing your work.  Your answer is correct, but you don't explain how 0/0 can be defined.  One way out of this dilemma is by invoking  L'Hospital's rule (one of my favorite rules!) which says that the ratio of the limits of the derivatives is the same as the ratio of the functions themselves (in cases when lim is either 0/0 or inf/inf).  So, lim sin x/x= cosx/1=1/1=1.  But then we know (without proof here- yeah, you should take off points) that sinx approaches x as x gets smaller and smaller.  

    But back to the original question-  What a wonderful and curious result.  Thanks for posing it. 

    All this just to prove that this 'lurker' is paying attention and  thoroughly enjoying the wonderful conversations. 


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