-working in real numbers, true or false? proof or counterexample: (a) If is decreasing sequence of positive numbers, and as , then converges. (b)If converges, then converges. (c)If converges, then converges. (d)If converges, then converges.
Last edited by mr fantastic; October 21st 2010 at 06:27 PM. Reason: Restored deleted question.
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Originally Posted by DontKnoMaff working in real numbers, true or false? proof or counterexample: (a) If is decreasing sequence of positive numbers, and as , then converges. Consider: but: diverges (you might have an interesting time proving this ) CB
could compare it to .
Originally Posted by Time could compare it to . NO since unless you have something mor sophisticated in mind. CB
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