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• 0.999...
  ...ter the nines mean. However, to resolve the problem, one needs mathematics beyond the elementary school level math that is needed to understand the question. .... When we say that the limit of <math>a_n</math> as <math>n</math> goes to infinity is equal to <math>L</math>, that means that for all <math>\epsilon>0</math>
  3 KB (577 words) - 20:04, 4 February 2023
• Approximation Techniques
  ...ion will [[Asymptote (Geometry)|asymptote]] (eg, in the limit as t goes to infinity,) with decreasing error. Often, the approximation yielded by an asymptotic
  2 KB (322 words) - 21:03, 11 February 2009
• KGS math club
  |N dwarfs, who can discuss strategy first, each have an ordered infinity of red and blue hats placed on their heads, colours assigned randomly. They
  22 KB (3,358 words) - 15:17, 18 July 2017
• 1973 USAMO Problems/Problem 3
  ...probability tends to <math>\frac{1}{4}</math> as <math>n</math> approaches infinity. Why does this occur?
  2 KB (286 words) - 08:32, 30 January 2023
• 1999 AHSME Problems/Problem 18
  ...onsider the limiting case as x approaches zero, log(x) approaches negative infinity.
  2 KB (354 words) - 18:55, 26 June 2024
• 2002 AMC 12A Problems/Problem 24
  ...>\frac{720}{2003} n</math>, where n is some integer from <math>0</math> to infinity, inclusive.
  4 KB (743 words) - 19:54, 14 March 2024
• 2010 AMC 12B Problems/Problem 24
  ...y, and values immediately to the right of each asymptote approach positive infinity. In addition, the function has a horizontal asymptote at <math>y=0</math>.
  3 KB (522 words) - 12:58, 18 August 2021
• ...''L'' are finite or infinite, whether ''f'' and ''g'' converge to zero or infinity, and whether the limits are one-sided or two-sided. ===Infinity over infinity===
  4 KB (764 words) - 23:10, 2 January 2012
• 2011 USAJMO Problems/Problem 5
  Where <math>P_{\infty}</math> is the point at infinity for parallel lines <math>\overline{DE}</math> and <math>\overline{AC}</math
  4 KB (717 words) - 17:00, 14 April 2024
• 2011 USAJMO Problems/Problem 3
  ...bitrarily large. Similarly, if we let <math>2a_{3}</math> tend to negative infinity, then <math>2a_{1}</math> tends to <math>\frac{\sqrt{3}}{2}</math> and <mat
  15 KB (2,593 words) - 13:37, 29 January 2021
• Projective geometry
  This problem is remedied by adding a "point at infinity" for each family of parallel lines. ...there must be exactly one line passing through them, so we add a "line at infinity."
  4 KB (720 words) - 15:03, 26 January 2015
• 1999 AMC 8 Problems/Problem 25
  ...<math>\frac{1}{3}</math> of <math>JIED</math>, if the progress is going to infinity, the shaded triangles will be <math>\frac{1}{3}</math> of the triangle <mat
  4 KB (655 words) - 05:21, 12 March 2024
• 1950 AHSME Problems
  The sum to infinity of <math> \frac{1}{7}+\frac{2}{7^{2}}+\frac{1}{7^{3}}+\frac{2}{7^{4}}+... <
  22 KB (3,306 words) - 19:50, 3 May 2023
• 1985 AHSME Problems/Problem 19
  ...h>1</math>. However, for any upward-opening parabola, the slope approaches infinity as <math>x</math> does, so no matter how small <math>A</math> is (i.e. how
  3 KB (519 words) - 23:10, 19 March 2024
• Barycentric coordinates
  The sum of coordinates is equal zero, so <math>Z'</math> is in infinity, therefore the point <math>Z</math> lies on <math>\Omega.\blacksquare</math
  29 KB (5,829 words) - 15:31, 24 June 2024
• 1950 AHSME Problems/Problem 43
  The sum to infinity of <math> \frac{1}{7}+\frac {2}{7^2}+\frac{1}{7^3}+\frac{2}{7^4}+\cdots</ma
  813 bytes (94 words) - 16:14, 9 May 2015
• 2012 AMC 10A Problems/Problem 25
  ...m{(n-2)\mu + 3}{3}</math>. Taking the limit as <math>\mu</math> approaches infinity, we obtain our closed form to be <math>\lim_{\mu \to \infty} \frac{\dbinom{
  13 KB (2,133 words) - 01:22, 6 February 2024
• KGS math club/solution 11 14
  ...oints besides the one point being moved and the two forming that line). At infinity it sits in 0, so its original count must have been even.
  1 KB (211 words) - 19:57, 4 March 2012
• 1952 AHSME Problems
  The sum to infinity of the terms of an infinite geometric progression is <math> 6 </math>. The
  23 KB (3,556 words) - 15:35, 30 December 2023
• Symmetry
  This transformation maps point <math>G</math> to infinity. Point <math>G_0</math> in infinity, so <math>B_0C_0 || Q_0P_0 || F_0E_0.</math>
  19 KB (3,292 words) - 13:04, 13 May 2024

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