Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

User:Silvernight

Revision as of 20:59, 26 May 2012 by Silvernight (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Here is an easy proof that $0.99999... = 1$

\[\frac{1}{3} = 0.33333...\] \[3 * \frac{1}{3} = 3 * 0.33333...\] \[\frac{3}{3} = 0.99999...\] \[1 = 0.99999...\] \[0.99999... = 1\]

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=User:Silvernight&oldid=47159"