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2006-06-27 23:36:05 · 22 answers · asked by anuj_5879 1 in Science & Mathematics Mathematics

22 answers

Be careful all you who think "not defined" and "infinity" are the same thing. Take the argument above that looks at 1/x for positive values of x that approach 0. The author claims that this implies that 1/0 is infinity. Or at least the author is thinking that

lim_{x -> 0} 1/x = infinity.

But now let the x's be negative numbers approaching 0, then we get numbers whose absolute values tend to infinity, but which themselves are negative. Are we to then conclude that

lim_{x -> 0} 1/x = negative infinity?

No! The limits are only defined when one obtains the SAME limit approaching 0 from both the positive AND negative directions. In our case we have

lim_{x -> 0^+} 1/x = infinity
lim_{x ->0^-} 1/x = negative infinity.

As the limits are not equal, lim_{x -> 0} 1/x does not exist. This is why those who say it is undefined are correct and those who say it is undefined and hence infinity are incorrect.

2006-06-28 09:17:27 · answer #1 · answered by Anonymous · 1 0

In general, division by 0 is undefined--meaning that the result is infinity. However, in calculus we begin to ask the question, "What type of 0 are you dividing by?" Never mind.

Anyway, consider three patterns:
A) 4/4 = 1
3/3 = 1
2/2 = 1
1/1 = 1
0/0 = 1
B) 0/4 = 0
0/3 = 0
0/2 = 0
0/1 = 0
0/0 = 0
C) 1/10 = .1
1/2 = .5
1/1 = 1
1/.5 = 2
1/.1 = 10
1/.01 = 100
(the smaller the number I'm dividing by, the bigger the result)
1/0 = infinity
So sometimes the result is one, sometimes it is zero, and most of the time it is infinity.

2006-06-28 07:47:11 · answer #2 · answered by tdw 4 · 0 0

with one exception the result is infinity

the reason is that division is repeated subtraction so we can subtract 0 from any number and infinite number of time

the exception is dividing 0 by itself as there are 3 possible answers:
anything divided by 0 is infinity
0 divided by anything is 0
a number divided by itself is 1

so 0 divided by 0 could be 0, 1 or infinity depending on how you want to look at it

2006-06-28 06:42:56 · answer #3 · answered by Ivanhoe Fats 6 · 0 0

Why do you divide it by 0.in the first place? but sorry you may be from kg -1 in that case the number itself

2006-06-28 06:42:02 · answer #4 · answered by kidu 2 · 0 0

0-0=0
0+0=0
0/0=0
0 *0=0
0/1=0
0/0.5=0
anything divided by or if zero is divided =0

2006-06-28 06:44:50 · answer #5 · answered by billyledgerwood 1 · 0 0

if we divide any number by 0 then the number which we get is not defined. no number. infinity.

2006-06-28 08:26:57 · answer #6 · answered by Anonymous · 0 0

Mathematically,its infinity.But literally,the number will remain unchanged.Like dividing 5 litres of water in zero parts will let the water to be 5 litres

2006-06-28 06:42:30 · answer #7 · answered by fatalfaisal 3 · 0 0

Infinity.
Eg.
If you divide anything by 0.1, the answer will be a big no. Divide by 0.001, much bigger answer. Divide it by 0.0000001, and you will get in millions.
But 0 is still smaller than 0.0000001, so the answer will be a infinite number.

2006-06-28 06:41:06 · answer #8 · answered by Xtreem 2 · 0 0

when any number is divided by 0 it is undefined.

2006-06-28 09:22:52 · answer #9 · answered by Anonymous · 0 0

it s always 0

2006-06-28 14:19:56 · answer #10 · answered by nomad_ 1 · 0 0

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