Major Error on Calculator involving Series
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02-26-2016, 02:47 PM
Post: #1
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Major Error on Calculator involving Series
I'm not sure if anyone is aware of this error regarding infinite series.
For instance: The sum from 1 to infinity of (-1)^(n+1) / n^2 should be pi^2/12 However, my calculator returns an answer of -pi^2/12. Even if I approximate this value, I receive -0.82246... I am using the mobile version of the HP Prime for reference. I have the actual calculator as well, but I'm at work currently, and my calculator is at my apartment. Also, (-1)^n / n^2 also returns -pi^2/12, which is in fact correct. Is this something I just have to live with? I teach Calculus II and Differential Equations currently and I am involved in a unit where I am covering infinite series. Thanks for any help regarding this matter. |
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