UberCollegeMan's Longest Count Post

Discus: College Confidential Café: UberCollegeMan's Longest Count Post
 By Al0 (Al0) on Sunday, October 10, 2004 - 10:50 pm: Edit

How does 16*arctan (1)/(Sum(1/x^2,x,0,infinity)) equal 6. The sum is a p-series pi^2/6; arctan (1) is pi/4 (45 degrees). So, 16*(pi/4)/(pi^2/6) = 24/pi is approximately equal to 7.63. How did you come up with 6?

 By Starman (Starman) on Monday, October 11, 2004 - 05:16 am: Edit

My friend.... the Ti-89 is a wonderful tool. Use it, and ignore HOW you got the anser, just know that you got the RIGHT answer. In the end, that's all that really matters.

 By Averagemathgeek (Averagemathgeek) on Monday, October 11, 2004 - 07:16 am: Edit

I think he just forgot to square the arctan factor.

 By Morgantruce (Morgantruce) on Monday, October 11, 2004 - 07:21 am: Edit

Just think of all the terrible outcomes that were the result of people who were certain they had the RIGHT answer.

How you arrive at an answer matters!

 By Ubercollegeman (Ubercollegeman) on Monday, October 11, 2004 - 04:50 pm: Edit

Wow, a thread with my name on it. I've hit the big leagues! I'm famous!

Actually, you guys are right. I forgot to square the arctan. My mistake.