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Logical Conclusion

July 16, 2008 

logical conclusion

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Comments

13 Responses to “Logical Conclusion”

  1. vetkooper on July 16th, 2008 12:16 pm

    You cant argue with that. Except shouldnt it be minus infinity to start with ?

  2. dr. no on July 17th, 2008 7:39 am

    no

  3. Theropes on July 18th, 2008 5:47 pm

    what a dumbass, I should tried to write this in my math tests just to see how the teacher reacts :)
    ps :and it’s not minus infinity

  4. Ian MacMillan on July 27th, 2008 6:49 pm

    um, as x approaches 8 from the left, the expression is always negative. As x gets close to 8 from the left, the value becomes extremely high, and negative, going to a limit of negative infinity. It approaches positive infinity as x approaches from the right, but this was not specified in the expression. And of course the expression is undefined at x=8. So, since I assume the default value would be for x approaching 8 from the left, why would the value not be negative infinity?

  5. Ian on July 28th, 2008 5:37 am

    The result is beautiful in a way; One would have thought a marker with some sense of humour would have given a partial mark for original thinking. Actually, both expressions have no limit as x goes to “a”: (ie see Spivak, “Calculus”, Theorem 1)

  6. Joe on August 11th, 2008 7:08 pm

    please explain to me how this formula or equasion benefits the life of yourself or myself in the future, coz im not seeing any

  7. Kevin on August 12th, 2008 1:06 pm

    technically infinity is signless.

  8. syn on August 13th, 2008 4:13 am

    um… the answer would be undefined. Although, the student’s answer is utterly brilliant.

  9. Nikolai on August 19th, 2008 1:02 am

    it should be minus infinity… stupid teacher

  10. joan on September 9th, 2008 6:00 pm

    the teacher only labeled the answer as wrong, and gave ir 0 points, he did’d say the answer was 0 xD

  11. Numenaster on October 2nd, 2008 10:51 am

    The expression evaluates as undefined when x reaches 8 (in the top example) but but the limit is the value of the expression just a TEEEENY bit before 8 is reached. So infinity is correct.

  12. Governator on October 14th, 2008 5:21 pm

    Actually, the limit of these expressions don’t exist. As x->8 from the left, it tends towards - infinity (yes, there is a distinction between - and + infinity, for all you commenting on it). As x->8 from the right, it tends towards + infinity. Since the limits for approaching from each individual direction are not equal, the overall limit, that is, lim (x->8); 1 / (x-8), does not exist. God, L2Calculus.

  13. Governator on October 14th, 2008 5:22 pm

    doesn’t *

    Maybe I should L2English.

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