so probably a black hole and stuff to explain why let's make it in shapes.
every shape has sides so instead of saying a circle has no sides it has infinity sides. so, a circle is an infinity shape.
if we were going to do something let's make the circle and sphere which is a 3d circle so to make that it would be circle x infinity but the same as infinity x infinity so it would be a sphere but what if a black hole = a sphere? a black hole is in a shape of a sphere so if we make a sphere black, we just made a black hole, but it will be flat when I mean by flat it's just a black cylinder so it's just flat so us humans can't make a black hole just not yet. if us humans learn a bit more about stars, I oppose we can alter them and be able to make a black hole to happen but not right now because we might make the whole world come to an end. anyways to answer the question infinity x infinity = black hole/sphere because a hole and just eats stuff in forever prob bigger than u imagine for infinity
anyways thank you for reading this
(made from a Elko 6thgrader)
The product of infinity multiplied by infinity is not a well-defined mathematical operation in standard arithmetic. In the context of cardinality in set theory, the product of two infinite cardinal numbers is generally considered to be the larger of the two infinite cardinals. However, in real numbers or extended real numbers, the expression "infinity x infinity" is considered indeterminate and does not have a specific value.
Infinity Explanation: a x infinity = infinity, if a greater than 1 In given case, a = 2 Therefore, 2 x infinity = infinity Hope this helps :) Your Fellow, Another Indian Kid
The end behavior of a function is how the function acts as it approaches infinity and negative infinity. All even functions such as x^2 approach infinity in the y-axis as x approaches infinity and odd functions such as x^3 approach positive infinity in the y- axis as x approaches positive infinity and negative infinity in the y- axis as x approaches negative infinity. If their is a negative leading coefficient then it is just flipped.
Infinity
X = (-infinity, 0) U (0, infinity) The above is read as X equals negative infinity, comma zero, union, zero, comma infinity on an open interval (By the way, this interval is made up of two intervals). A parenthesis by a value indicates it is not included. This means X could equal anything between -infinity and 0 and X can equal anything between 0 and infinity. X can not equal -infinity. X can not equal 0. X can not equal infinity. The interval is open because none of the starting or ending values can be a value of X (It's a parenthesis by all the starting and ending values). There is a parenthesis by 0 because 0 is not a possible value of X (the question says so). There is a parenthesis by -infinity and infinity because they are not real numbers. So whether either of them is included in the answer, they always have a parenthesis by them. If a number was included in an interval, there would be a square bracket by it, like this: [ or ]. If the starting number and the ending number on the interval is included then the interval is closed.
I can see two different ways to place the parentheses in that question. Here are both answers: ( e-2 ) x infinity = infinity ( e-2 x infinity ) = zero
Infinity
What is the limit as x approaches infinity of the square root of x? Ans: As x approaches infinity, root x approaches infinity - because rootx increases as x does.
the limit [as x-->5] of the function f(x)=2x is 5 the limit [as x-->infinity] of the function f(x) = 2x is infinity the limit [as x-->infinity] of the function f(x) = 1/x is 0 the limit [as x-->infinity] of the function f(x) = -x is -infinity
Infinity Explanation: a x infinity = infinity, if a greater than 1 In given case, a = 2 Therefore, 2 x infinity = infinity Hope this helps :) Your Fellow, Another Indian Kid
It depends. The determining factor is whether the numerator goes to infinity faster or slower than the denominator. If the numerator goes faster, then the answer is infinity. For example, as x goes to infinity, exp(x)/x goes to infinity. If the numerator goes slower, then the answer is zero. For example, as x goes to infinity, x/exp(x) goes to zero. If they go at the same rate, then the answer is intermediate. For example, 2x/x is 2 for all x, including when x goes to infinity.
An unknown number x times infinity would be infinity.
Infinity
The end behavior of a function is how the function acts as it approaches infinity and negative infinity. All even functions such as x^2 approach infinity in the y-axis as x approaches infinity and odd functions such as x^3 approach positive infinity in the y- axis as x approaches positive infinity and negative infinity in the y- axis as x approaches negative infinity. If their is a negative leading coefficient then it is just flipped.
The log(infinity) does not exist. It is impossible to evaluate because infinity is not a number. When evaluating limits infinity is a special case of a nonexistent limit. The limit of the log(x) as x approaches infinity is infinity because log(x) increases without bound when x gets extremely large.
It is indeterminate. There are many other inderterminate forms. It is not at all the same as 3/3 for example. You can see this with limits and some calculus rules. You must apply the L'Hospital theorem by deriving the numerator and the denominator of the equation that gave you infinity over infinity.-----------------Why ∞/∞ is not 1One could think that ∞/∞ = 1, but this is wrong.The answer depends on the kind of infinity: in fact, there are different kinds of infinity.For example, consider f(x) = x2 and g(x) = x. In the limit x→∞ of the function f(x)/g(x), we havelimx→∞ f(x)/g(x) = limx→∞ x2/x = limx→∞ x = ∞;so, both f(x) and g(x), in that limit, equal infinity, but f(x)/g(x) ≠ 1. If we have f(x) = 2x and g(x) = x, both f(x) and g(x) equal infinity (for x→∞), butlimx→∞ f(x)/g(x) = limx→∞ 2x/x = limx→∞ 2 = 2 ≠ 1.So you see that infinity is something to check everytime!--------------Addition: Since infinity is not a set number, you cannot assume that infinity divided by infinity would equal one. Infinity is an indeterminate number.1To touch on this whatever you take and divide by the same number will always give you one.2Infinity divided by infinity is not equal to 1, But it is undefined, not another infinity. This would help you:First, I am going to define this axiom (assumption) that infinity divided by infinity is equal to one:∞-∞= 1Since ∞ = ∞ + ∞, then we are going to substitute the first infinity in our axiom:∞ + ∞---∞= 1The next step is to split this fraction into two fractions:∞-∞+ ∞-∞= 1Next, substitute the axiom twice into the equation, we get:1 + 1 = 1Finally, this can be rewritten as:2 = 1Therefore, infinity divided by infinity is NOT equal to one. Instead we can get any real number to equal to one when we assume infinity divided by infinity is equal to one, so infinity divided by infinity is undefined.
X = All Real Numbers or -infinity (is less than) x (is less than) infinity
[infinty sign]<x<[infinity sign]