Can Infinity Be Multiplied?

Is 2 times infinity bigger than infinity?

Infinity can never be smaller or larger then infinity.

Infinity is not a number.

It is a size, a manyness.

Georg Cantor proved that there are 2 and only 2 sizes of infinity..

Is Infinity equal to zero?

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. Hence we readily say that N / 0 is infinite. … So we say that 0/0=0, even though we cannot justify the arbitrary change in rules.

What is the value of 1 by infinity?

Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined. In mathematics, a limit of a function occurs when x gets larger and larger as it approaches infinity, and 1/x gets smaller and smaller as it approaches zero.

What is Ln infinity?

The limit of the natural logarithm of x when x approaches infinity is infinity: lim ln(x) = ∞ x→∞

Why is 0 * infinity indeterminate?

Zero is so small that it makes everyone vanish, but infinite is so huge that it makes everyone infinite after multiplication. In particular, infinity is the same thing as “1 over 0”, so “zero times infinity” is the same thing as “zero over zero”, which is an indeterminate form.

What is the formula of infinity?

They are written as “equations” which help you manipulate the symbols and – but REMEMBER THAT INFINITY IS A SYMBOL, NOT A NUMBER. (f + g)(x) = . L + = and L + – = – . 1/ = 0 and 1/- = 0.

Is Infinity multiplied by infinity indeterminate?

The key thing to understand in regards to your question is that with the limit you are never actually multiplying anything by infinity or anything by 0 in a limit. In other words, there is no value of x that produces infinity*0 as the product of f(x)*g(x).

What is the highest level of infinity?

In the affinely extended real number system (which is a mouthful meaning “the real numbers, and negative infinity, and positive infinity”), absolutely: positive infinity is the highest number. In other number systems, we’re not so lucky.

Why is 1 to the Power Infinity indeterminate?

For example, limn→∞(1+1n)n=e≈2.718281828459045. limn→∞(1+1n)√n=0, so a limit of the form (1) always has to be evaluated on its own merits; the limits of f and g don’t by themselves determine its value.

Can you multiply infinity times infinity?

11 Answers. The problem is that the laws of addition and multiplication you are using hold for natural numbers, but infinity is not a natural number, so these laws do not apply. If they did, you could use a similar argument that multiplying anything by infinity, no matter how small, gives infinity, thus ∞×0=∞.

Can you multiply infinity by 0?

In actuality, when any number (including zero) is multiplied with infinity, then the results are always undefined. Therefore, zero times infinity is undefined. So, zero times infinity is an undefined real number. This is the definition of undefined.

Can you add a number to infinity?

. If you add one to infinity, you still have infinity; you don’t have a bigger number. If you believe that, then infinity is not a number.

Is Omega bigger than infinity?

ABSOLUTE INFINITY !!! This is the smallest ordinal number after “omega”. Informally we can think of this as infinity plus one.

What is bigger infinity 1 or infinity?

Usually,if infinity is used like that, every number is assumed smaller than infinity, infinity is assumed equal to infinity and any number + infinity is defined equal to infinity +(x,infinity)=infinity for every real x. In that case: no, infinity +1 is not bigger than infinity.

Can Infinity be calculated?

Infinity is not a real number, it is an idea. An idea of something without an end. Infinity cannot be measured.

What is infinity to the 0 power?

If you extend the Real numbers set, you may say that infinity is defined as the NUMBER, which is bigger than any of the numbers in the non-extended Real numbers set. In that case infinity to the power of zero is 1 because any Real NUMBER to the power zero is 1.

Is 1 times infinity indeterminate?

This “1∞” (in regards to indeterminate forms) actually means: when there is an expression that approaches 1 and then it is raised to the power of an expression that approaches infinity we can’t determine what happens in that form. Hence, indeterminate form.

Is negative infinity a real number?

No. If you look up the definition of the real numbers, you will not find any of its elements called “infinity”. However, the extended real numbers has two numbers called +∞ and −∞, which become the endpoints of the number line in the extended reals.

What is infinity divided 0?

Infinity is not a real number, and even if it were, it wouldn’t be the answer to dividing something by zero. There is no number that you can multiply by 0 to get a non-zero number. There is NO solution, so any non-zero number divided by 0 is undefined.

What is the value of 0 multiplied by infinity?

Zero multiplied by infinity will be Zero itself. However the answer should depend on weather it is exact zero or tending zero. When zero is multiplied by x where x tends to infinity, the answer will be zero.

Is Infinity minus one still infinity?

Infinity is not a number is a concept, but let’s imagine one infinity made out of numbers from 0 to infinity: You will have th following list: 0, 1, 2 ,3…followed by a never ending list of numbers. So in this case, this infinity minus one is still infinity.