Waste less time on Facebook — follow Brilliant.
×

An interesting thing everyone must know..

\(0.99999....=1\)! Why? It was proven in many methods, even though its logically unequal. Try the basic one, the same method as making infinitesimals to fraction. Assuming \(x=0.9999...\). Then \(10x=9.9999...\). Subtracting: \[10x-x=9.9999...-0.9999...\] \[9x=9\] \[x=1\] Even though we clearly declare x as 0.999..., The end result is one.

Note by Ivander Jonathan
2 years, 8 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

This is very interesting, but I don't sure how does it.!!

Gm Kibria - 2 years, 8 months ago

Log in to reply

We also know that \(\frac{1}{3} = 0.33333...\). Multiplying both sides by \(3\) gives: \(\frac{3}{3} = 0.99999...\), or \(1=0.99999...\).

Patrick Prochazka - 2 years, 5 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...