Infinity is just a concept of endlessness, and can be used to represent numbers going on forever. Negative infinity is the opposite of (positive) infinity, or just negative numbers going on forever.
No.
If the line is coming from the negative side/left and plunging down rather than showing a value, it is going infinitely down, or to negative infinity.
Interval notation:
Since there is no lower endpoint (it is ALL values less than or equal to 4), we put the negative infinity symbol on the left side. The boxed end on 4 indicates a closed interval. Negative infinity always has a curved end because there is not an endpoint on that side.
As a general rule, when you are taking a limit and the denominator equals zero, the limit will go to infinity or negative infinity (depending on the sign of the function).
In arithmetic, 1 plus infinity is undefined and cannot be given a numerical value. Similarly, 1 minus infinity is undefined.
So in this case, [0, infinity) means it's all the real numbers from 0 to infinity, including 0. In layman terms, it's all nonnegative real numbers. You could also think of it as every number greater than or equal to 0.
A limit can be undefined for various reasons. The limit may be infinity or negative infinity. It is considered an undefined limit because it does not have a finite limit.
The graph gives it away; the limit of the function as x approaches either positive or negative infinity is two.
Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined.
The answer is -9999999.
You cannot do so is not an answer nor is it any kind of proof. Any number multiplied by it's reciprocal equals 1. In order for 0 to be a number it would have to have a number as it's reciprocal.
The concept of zero and that of infinity are linked, but, obviously, zero is not infinity. Rather, if we have N / Z, with any positive N, the quotient grows without limit as Z approaches 0.
Yet even this relatively modest version of infinity has many bizarre properties, including being so vast that it remains the same, no matter how big a number is added to it (including another infinity). So infinity plus one is still infinity.
As no number is imagined beyond it(no real number is larger than infinity). The symbol (∞) sets the limit or unboundedness in calculus.
It's infinite. One way to look at it is to realize that if you added two finite things together, the answer is finite, so 1/2 of infinity cannot be finite, hence infinite.
Infinity can refer to something that is infinitely large or infinitely small, and it is not something that can be divided or measured in the traditional sense. Therefore, half of infinity does not have a numerical value and it does not exist.
Infinite exponentiation means that you take 1 and multiply it by a scaler, a, infitnite number of times. Scaling by a > 1 yields greater and greater number. So, (a>1)∞=∞. Downscaling infinitly by a<1 yields 0: (a<1)∞=0.
In modern mysticism, the infinity symbol has become identified with a variation of the ouroboros, an ancient image of a snake eating its own tail that has also come to symbolize the infinite, and the ouroboros is sometimes drawn in figure-eight form to reflect this identification—rather than in its more traditional ...
The short answer is that 0 has no multiplicative inverse, and any attempt to define a real number as the multiplicative inverse of 0 would result in the contradiction 0 = 1.
Infinity is bigger than any number. But saying just how much bigger is not so simple. In fact, infinity comes in infinitely many different sizes—a fact discovered by Georg Cantor in the late 1800s.
What we'll focus on in this lesson is giving precise meaning to the phrase “infinity times 2 is infinity”.
This means that 1/ infinity=0.
Infinity is a mathematical concept originating from Zeno of Elia (~450 BC) who tried to show its “physical” impossibility. This resulted in the “arrow paradox”, but which was solved later on. Many mathematicians and physicists went on to try understanding infinity and to explain it by various theories and experiments.
Addition with Infinity
If a number is added to or subtracted from infinity, the result is infinity.