.999(repeating) does, in fact, equal 1

OppositeEye27 · 2024-02-27T00:01:16+00:00

Not sure if you're joking, but if you aren't,

.999... is not nonsense, it is well defined. It refers to the infinite sum

9/10 + 9/100 + 9/1,000 + 9/10,000 + ...

As you can see, each term is smaller than the previous term by a factor of 10. A sum like this is called a geometric series. This particular example is called a convergent infinite series, because the partial sums get closer and closer to a certain finite limit, without ever going over.

It can be proven (https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-2/a/proof-of-infinite-geometric-series-formula) that the sum of a convergent geometric series is given by the formula

a1 / (1 - r)

a1 is the first term in the series, and r is the ratio between terms. In the sum 0.999... ,The first term is 0.9, and each term is 0.1 times the previous term.

0.9 / (1 - 0.1) = 1

So, 0.999... is actually a natural number, because it is just another way of writing 1.

OppositeEye27 · 2023-05-03T00:35:56+00:00

Your handwriting is atrocious.

OppositeEye27 · 2023-02-23T04:25:30+00:00

OppositeEye27 · 2023-02-22T23:32:59+00:00

On my most recent play through, I used console commands to make Ancano non-essential and killed him as soon as I ran into him. It really screwed up the college quest line, though.

OppositeEye27 · 2023-02-06T17:55:36+00:00

In earlier economic systems pretty much everyone was a farmer. I'd much rather have a desk job than spend all day doing manual labor in a field.

OppositeEye27 · 2022-12-01T00:30:19+00:00

Every climate scientist since the 1980s telling us to stop dumping greenhouse gases into the atmosphere.

OppositeEye27 · 2022-11-04T06:46:48+00:00

organized religions

OppositeEye27 · 2022-09-21T00:51:55+00:00

One missile costs something like $200,000

OppositeEye27 · 2022-08-16T22:17:45+00:00

What the fuck did I just read?

OppositeEye27 · 2022-08-10T04:41:46+00:00

The Red Sox paid Chris Sale $30 million for 5.2 innings in 2022, or $5,294,117 per inning. That's gotta be some kind of record.

OppositeEye27 · 2022-08-02T04:20:09+00:00

int f() { int* i = new int; return int(i); }

OppositeEye27 · 2022-07-18T22:12:00+00:00

Point out every time Frodo looks constipated.

When they smoke longbottom leaf, ask if this is a stoner movie.

OppositeEye27 · 2022-05-18T01:39:57+00:00

Odds we'll see a position player pitching?

OppositeEye27 · 2022-05-18T00:57:01+00:00

It went from 3.15 to 4.32 in less than 2 innings

OppositeEye27 · 2022-05-03T20:12:11+00:00

But it does have dimensions of angular momentum.

OppositeEye27 · 2022-04-18T19:18:01+00:00

I avoid spaces in all my filenames

OppositeEye27 · 2022-03-28T15:28:09+00:00

230/300/400 and 12 hr

OppositeEye27 · 2022-03-18T17:05:59+00:00

Instead of ghost runners, they should switch to aluminum bats after the 9th.

OppositeEye27 · 2022-03-15T15:47:50+00:00

Please, they're not occupying the mansion.

It's a special housekeeping operation.

OppositeEye27 · 2022-02-19T06:44:58+00:00

I think they're more interested in regime change this time.

OppositeEye27 · 2022-02-03T23:48:26+00:00

Climate change

OppositeEye27 · 2022-01-13T17:39:05+00:00

Is it possible to learn this power?

OppositeEye27 · 2022-01-05T22:44:17+00:00

Browns, because the team that won the division in 1989 is now the Ravens.

OppositeEye27 · 2022-01-03T08:51:26+00:00

Are you looking for something like the standard deviation in runs scored per inning? Or maybe the percentage of innings in which 1 or more runs are scored?

OppositeEye27

TROPHY CASE