∞ + ∞ = ?
∞ - ∞ = ?
∞ / ∞ = ?
∞ x ∞ = ?
∞ / (∞ / 2) = ?
1 / ∞ = ?
∞ - ∞ = ?
∞ / ∞ = ?
∞ x ∞ = ?
∞ / (∞ / 2) = ?
1 / ∞ = ?
A simple one
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∞ + ∞ = ?
∞ - ∞ = ? ∞ / ∞ = ? ∞ x ∞ = ? ∞ / (∞ / 2) = ? 1 / ∞ = ?
∞
0 1 ∞ 1 0
All of those are invalid since infinity isn't a number, it's a concept.
Asking what 1 / ∞ is is like asking what 1 / 0 is. It's undefined.
Indeed. Using set notation:
R = Set of real numbers. Z = Set of integers (-2, -1, 0, 1, 2, ...) |x| = Number of values in set x. We get: |R| = ∞ |Z| = ∞ Yet |R| > |Z| (it's bigger by a factor of ∞ precisely)
∞ + ∞ = infinity
∞ - ∞ = indeterminate (can indeterminate forms be applied to non-limits?) ∞ / ∞ = indeterminate ∞ x ∞ = infinity ∞ / (∞ / 2) = indeterminate 1 / ∞ = 0 (February 20, 2010 at 1:27 pm)Zhalentine Wrote: ∞ + ∞ = infinity Well done Have a cigar
You can't add or subtract from infinity because its not a real number.
(February 20, 2010 at 1:33 pm)Darwinian Wrote:What basis do you have for giving him a cigar when 3 of his answers are wrong?(February 20, 2010 at 1:27 pm)Zhalentine Wrote: ∞ + ∞ = infinity |
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