- #1
B-Con
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I've heard, and agree, that infinity (I) divided by 0 is impossible, yet somewhere I saw that I/0 * 0/I = 1
is this correct? It seems to make sense, somewhat...
is this correct? It seems to make sense, somewhat...
cronxeh said:9.9999999999999999 * 10^99999 looks kinda big enough to be infinity, but so does
9.9999999999999999 * 10^999999999
strid said:why not just 10^100000 ?
waste of keyboard :tongue:
Or much much better yet:nnnnnnnn said:or 99999999^999999999
Ba said:I seem to remember something like that with the directrix and foci of an elipse where the foci were a^2/c and the distance between foci bieng 2c so as the foci moved inwards to the center then the directrix moved out to infinity. So a circle could be thought of as an elipse with a directrix infinitly far away. 2a was the distance of the minor axis.
No, but you could say that the limit of a/b*b/a as 'a' approaches infinity and as 'b' approaches 0 equals 1, no matter how close each gets to infinity or zero (just as long as neither quite reaches its destination).B-Con said:I've heard, and agree, that infinity (I) divided by 0 is impossible, yet somewhere I saw that I/0 * 0/I = 1
is this correct? It seems to make sense, somewhat...
nnnnnnnn said:inf/0 * 0/inf = 1
Assuming you can cancel the 0's out, you get inf/inf which is not defined under normal circumstances so this problem being equal to 1 is most probably not true.
every number infinitely close to that point _is_ defined.
Yes, mathematically it is possible for I/0 x 0/I to equal 1. This is because any number divided by zero is undefined, and any number multiplied by zero is equal to zero. Therefore, I/0 x 0/I can be rewritten as 0/0, which is an indeterminate form and can have a value of 1 depending on the context in which it is used.
One example of when I/0 x 0/I could equal 1 is in the limit of a function as it approaches a point where the function is undefined. For instance, if we have the function f(x) = x^2/x, as x approaches 0, the value of f(x) approaches 0/0, which can be rewritten as I/0 x 0/I, and in this case, it would have a limit of 1.
The concept of I/0 x 0/I equaling 1 is closely related to the concept of infinity. This is because infinity is not a number, but rather a concept representing something without limits. In the case of I/0 x 0/I, the value can approach infinity as the denominator gets closer to zero, but it will never actually reach infinity because it is undefined. Therefore, it can be said that I/0 x 0/I is equal to 1, which is a finite number, but it is also approaching infinity in a mathematical sense.
Yes, there are real-life applications for the concept of I/0 x 0/I equaling 1. In physics, this concept is used to calculate the slope of a tangent line, which is essential in determining the velocity of an object at a specific point in time. It is also used in calculus to solve complex limits and in computer programming to handle exceptions and error handling.
Yes, this concept can be applied to other mathematical operations, such as addition, subtraction, and division. For instance, if we have the equation x/0 + 0/x, it can also be rewritten as I/0 + 0/I, which would have a value of 1. However, it is important to note that this concept should be used with caution and in specific mathematical contexts to avoid any mathematical errors or contradictions.