Decius comments on On the importance of taking limits: Infinite Spheres of Utility - Less Wrong

23 Post author: aspera 12 October 2013 09:18PM

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Comment author: Decius 10 October 2013 08:07:40PM *  0 points [-]

Um... -inf and +inf are not real numbers. (Noting that your function as described is undefined at -inf.)

In addition, the definition of continuous restricts it to points which exist on an open interval; if the limit from below and limit from above are equal to the value at X, then the function is continuous on an open interval containing X. How do you determine the limit as X approaches +inf from above?

Comment author: aspera 10 October 2013 08:18:05PM 0 points [-]

MrMind explains in better language below.