Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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Say we define a sequence such that:
Last edited by God (2006-01-29 02:22:21)
i. I think so.
El que pega primero pega dos veces.
ii. By the ratio test:
Since < for all n:
Which means that the series converges, although I know of no tests that actually find this number.
And why isn't the latex '<' not working?
Last edited by Ricky (2006-01-29 03:41:37)
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."