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24 Dec 2007 18:34:20 IST

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Let us discuss INFINTY..........

None

Hey all goiitians...........I have posted this topic so that everyone out there can just give a definition for INFINITY......pls give a definition from your own thinking and dont just copy and paste anything pre-written...............

I hope some positive response,.....

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Aatish Pandit

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24 Dec 2007 18:35:39 IST

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Let me start........

I define INFINITY as a symbol that represents the largest no. which anyone can imagine...........

pls post some more definitions.......

Tarin Bansal

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24 Dec 2007 18:41:54 IST

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Yaar. what is there to discuss. It has a simple definition. Infinity is relative term. It can only be defined during comparison.
One example to eleborate my definition- Suppose you want to go to USA from Delhi. U can go via plane, it takes 24 hrs. U will not notice the distane much. But you ask an ant to go to USA from delhi and that too walking not in a plane. Now that distance is infinity for the ant but for us its just a very large number and not infinity.

Hope U understood.

Aatish Pandit

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24 Dec 2007 18:45:19 IST

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ok buddy let me ask you just one thing,,,,,,,,,,,,,,,,,,

pls define 0 / 0 ( 0 divided by 0 )

Tarin Bansal

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24 Dec 2007 18:47:14 IST

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Mujhse kya pooch rahe ho. Even the greatest mathematicians are not able to define 0/0. That's why its one of the 7 indeterminate forms(whose value cannot be known).
If U think that 0/0=infinity, U are mistaken. There is no defined value of 0/0 till date. May be in the future, someone will find its value.

Srujana

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24 Dec 2007 18:51:23 IST

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Infinity is not any number or something like that....it is just a symbol meaning 'undefined' ....... it is not any arthimetic number (and that is the reason why we cant use mathematical operations on them like multiplication , division etc..)

and also sometimes we people say tan 90 is infinity ..but it is wrong...tan 90 is undefined

Aatish Pandit

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24 Dec 2007 18:55:17 IST

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nice answer srujana........just like that some more answers.....

Vivek Jha

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24 Dec 2007 18:57:35 IST

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Well, infinity is an undefined quantity strictly speaking. In Physics, it assumes a relative role. For eg. a distance of 1micron from the centre of a 1 square metre sheet maybe viewed as infinitely large because the sheet expands indeterminately on either side from that distance.

In Maths, it follows its regular definition of truly being undefined. In limits, many questions have their limit as "infinity", purists say that the limit is undefined while quite a few say that the limit is infinity.

Vivek Sarda

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24 Dec 2007 19:01:31 IST

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Infinity is the biggest of all numbers
Bt u may then think if we add 1 to it we again get infinite
even infinite + infinite= infinte
So actually m also nt too sure
bt still it can be taken as the biggest possible no known to mankind!!!
WOW NA!!!!

anshul sharma

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24 Dec 2007 19:15:30 IST

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infinity is nt any no.. it is referred to something whose value u can determine

karthik vadlamani

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25 Dec 2007 23:09:04 IST

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well
ok
0/0 is an indeterminate form
indeterminate means we cant find its exact value
example 2.0=3.0.it means 0/0=2/3or3/2
like wise we can find its value but not exact value
clear?
nudge me if u have doubt
rate me if u think useful

Bhaskar Tetarbe

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26 Dec 2007 12:16:25 IST

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Lets see,
infinity and undefined are two different things. For example,
0/0 = undefined and 1/0 = infinity.
Because, 0/0 in common language means divide nothing into no part and 1/0 means that how many times do we add nothing to obtain 1, which can go on forever but we will never get any answer.

Rajat Khanduja

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26 Dec 2007 13:50:50 IST

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Infinity is a number larger than the largest [ or smaller than the smallest( - infinity also exists) ] number anyone can think of.

The symbol used for infinity is also used to express terms that are not defined. like
0/0 or x/0 or tan(

/2), etc.

Hence, not defined should not be confused with infinity

munish

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26 Dec 2007 21:38:15 IST

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IF INFINITY IS NOT DEFINE THEN WHY SOMETHING /INFINTY IS ZERO.WAIT WHY 1 X INFINITY IS NOT DEFINE

AnshikaRathee

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26 Dec 2007 21:54:08 IST

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it is the distance not reachable, which can be extended all your life.
it is the emptiness.
no matter , nothing, not imaginable, thats what is my imagination.

Neeraj Agarwal

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27 Dec 2007 21:39:13 IST

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anything divided by 0 is NOT DEFINED

any expression involving infinity is also NOT DEFINED

eg. 0/0 , 1/0 ,infinity , infinity x zero , 0/infinity etc...

but
(no. tending to 0 / no. tending to 0) is an indeterminate form....
similarly...
(no. tending to infinity / no. tending to infinity) is indeterminate

0 /no. tending to inf is exactly equal to 0

(no. tending to 0 / no. tending to infinity) is a no. approaching 0...

and so on...

Umang

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27 Dec 2007 22:02:11 IST

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here's a query regarding infinite series
consider f(x) = 1- x + x^2 - x^3 + x^4 -....till infinity
now f(1)=1-1+1-1+1-1.....
this should come either 1 or -1
but if u use infinite GP formula answer comes out to be 1/2
pls explain !!!!!

praveen phatate

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27 Dec 2007 23:05:52 IST

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infinity cannot be defined but it is biggest of all numbers.
0/0 canoot be defined exactly it is undefined.

1/0 is an infinity

MAANI !!!!!!!!!!!!!!!!!!!

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27 Dec 2007 23:22:45 IST

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in my views
INFINITY is
one more that the limit of KNOWN numbers

eg.if u think 100000000000000000 as ur last number of ur counting limit
and then add 1 will be infinity
and if you add 1 more
then on adding 1 more will be ur infinity
and so on............

so INFINITY is 1 more than your known counting limit

Bhaskar Tetarbe

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28 Dec 2007 09:27:15 IST

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Hey md_2674062, something/infinity is never equal to zero but is only approximated to be zero,
Suppose   1/10 = 0.1
                1/100 = 0.01
                1/1000 = 0.001
Like this you go on forever,
     You will start to get 10^-99, 10^-100 , 10^-101 and so on. Thus when we take this to infinity, we start to assume it as 0.

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