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Mathematics 8 Online
OpenStudy (anonymous):

o.9999999....=1?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

no it equals the limit of 1

OpenStudy (anonymous):

Clearly untrue...

OpenStudy (anonymous):

What's a third?

OpenStudy (anonymous):

Ishaan - that's considered annoying to some ppl :)

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

Thank you Pjulian5

OpenStudy (anonymous):

True statement.

OpenStudy (anonymous):

your welcome

OpenStudy (anonymous):

The limit of 1 ???

OpenStudy (anonymous):

http://en.wikipedia.org/wiki/0.999

OpenStudy (anonymous):

What's the limit of a 1/3?

OpenStudy (anonymous):

well an infinity of nines is as close as you can get to 1 without ever reaching it

OpenStudy (anonymous):

There are 2 decimal representations of 1

OpenStudy (anonymous):

0.999 recurring and 1.000 recurring..

OpenStudy (anonymous):

so your saying this i a decimal representaion of 1?

OpenStudy (anonymous):

Yes.

OpenStudy (anonymous):

can you show me the proof

OpenStudy (anonymous):

What's a 1/3?

OpenStudy (anonymous):

ok so 1-0.9999... is 0

OpenStudy (anonymous):

Yes.

OpenStudy (anonymous):

.333333333333333333333333333333333.........

OpenStudy (anonymous):

What's 3*1/3?

OpenStudy (anonymous):

.99999999999999999999999999999...............

OpenStudy (anonymous):

or 1

OpenStudy (anonymous):

QED

OpenStudy (anonymous):

i was going to read that but i started classes should i pick it up

OpenStudy (amistre64):

1/3+1/3+1/3 = 1 .333... + .333... + .333... = .999...

OpenStudy (anonymous):

onoes the world is ending as we speak..... 3*1/3 = .9999999999999999999999

OpenStudy (anonymous):

it just means that there is a infinitesimal difference

OpenStudy (anonymous):

"infinitesimal" Weierstrass banned them.

OpenStudy (anonymous):

But the physicists never listen to mathematicians anyway...:-)

OpenStudy (anonymous):

wait what lol go on

OpenStudy (anonymous):

In the wolrd of epsilon delta (Calc 2?) there are no infinitesimals..

OpenStudy (anonymous):

world

OpenStudy (anonymous):

Physicists, who know better, continue to make use of them anyway, because they like an easier life and don't like math.

OpenStudy (anonymous):

okay so estudier and everyone else it may be dumb to ask but still I want to ask \[cos(cos(cos(cos(cos.........................(cos(cos(\theta))).....))))) = 1 \]is the true ?

OpenStudy (anonymous):

where \(-\pi<\theta<\pi\)

OpenStudy (anonymous):

is this some sort of sequence

OpenStudy (anonymous):

ah someone asked this on openstudy and zarkon replied the question is false

OpenStudy (anonymous):

Good job balancing those parantheses Ishaan :)

OpenStudy (amistre64):

q w e these are on seperate lines

OpenStudy (amistre64):

whats up with the formatting?

OpenStudy (anonymous):

i believe it would be false

OpenStudy (anonymous):

false.

OpenStudy (anonymous):

but think about it if .99999.. = 1 then .. cos maximum value is 1 so lets say cos\(\theta\) = 1 then cos 1 < 1 then it just goes on ......

OpenStudy (anonymous):

The dottie number...0.73908 Hit the cos key on your calculator repeatedly.

OpenStudy (anonymous):

actually cos(cos(cos(....(cos(theta)))))))) approaches 0.739085133215 (something like that) as the number of cosines tends to infinity

OpenStudy (anonymous):

ah ubuntu calculator lacks cos and sin I gotta download a new one

OpenStudy (anonymous):

ah I see thanks

OpenStudy (zarkon):

I'm surprised it took so long for me to see the \[\text{is }.\overline{9}=1\] post ;)

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