Can anyone provide me with equations that equal to infinity?

Question

As many as you can, and in all the types that you can.

Answer 1

1/0 is incorrect. You cannot divide by zero. That is an undefinable equation.

The proper notation is

lim x-> 0 of 1/x
right hand side.

Answer 2

Despite what the purists will say, 1/0 is generally understood to be infinity. We can talk about as x approaches zero and all that formal jazz (by the way you can approach from either side, not just the right). But, bottom line, 1/0 or any real x/0 has the same connotation.

The answer talking about x --> 0 from the right side was skirting around the obvious...x/0 <> infinity because nothing EQUALS infinity. Why? Because infinity is not a number, it is a representation of all numbers and one thing cannot equal all numbers concurrently.

Answer 3

eyesonthescreen almost got it right. Infinity is not equal to anything. It is a concept, not a number. In fact, it is ridiculous to say that any number approaches infinity because we don't know what infinity is. We should rather say the value of an expression is indeterminate or the limit of a series diverges. Saying that something approaches infinity implies that infinity may be some sort of an end or boundary.

Answer 4

Any number divided by 0 is not equal to infinity. It is INDETERMINATE VALUE.

Here is something about Infinity:

"The Value
The best definition for infinity that I know of is

n
inf = lim ___
x->0
|x|
where n is any positive real number, and |x| approaches downward to zero (as noted by Professor Pi). I prefer to actually set n to 1 when I define infinity, because certain math problems arise where the limits of two functions f(x) and g(x) both approach infinity, but for any x g(x) is not the same value as f(x). For example, g(x) might be defined as twice f(x). In these cases, the limit of f(x) would be infinity, and the limit of g(x) would be 2 · infinity. To me, defining infinity as the limit of 1 divided by x as x approaches zero is easiest on my brain as it clears any ambiguity. I just use the above definition with n=1 and I know how large any infinite value is relative to any other. When you factor in the fact that you can have negative infinite values, well, I think it just makes sense. "

Source:

Answer 5

^^^ NO

mathematically speaking in the 'number' sense, infinity is the limit to the following sequence

1, 2, 3, 4, ...

We can consider the traditional mathematical infinity as ω (omega) see the source for more.

Answer 6

x/0= infinity for any amount of x

Answer 7

x1 = the number of integers

x1 is the "infinity" called "aleph-null"

....

x2 = the number of real numbers

x2 is the "infinity" called "aleph-one"
....

gets complicated after that ...

Answer 8

1/0 & 0/0 are the classic forms.

tan(pi/2) is another form.