Question: Can Infinity Be Multiplied?

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.

What is infinity divided 0?

Division is the inverse of multiplication, so x / y is really asking what you can multiply y by to get x. In division by zero, x is zero, and anything divided by zero is zero, so therefore for all values (except 0) there is no answer, which is why division by zero is undefined.

Is Infinity minus one still infinity?

No. Add or subtract any finite number to or from infinity and the answer still infinity. … Infinity isn’t a specific number, it’s the idea of an uncountable number. So, subtracting 1 from an uncountable number means you still have an uncountable number since there’s nothing to subtract 1 from.

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.

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.

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=∞.

Is 2 times infinity bigger than infinity?

The answer depends on which notion of infinity we use. The infinity of limits has no size concept, and the formula would be false. The infinity of set theory does have a size concept and the formula would be kind of true. Technically, statement 2∞ > ∞ is neither true nor false.

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 infinity to the 0 power?

There is no universal value for ∞0. It is indeterminate, and the value depends on how you are getting the ∞ and the 0. Some other indeterminate forms are 00,1∞,∞×0,00,1.

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.

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 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.

What is Ln infinity?

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

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.

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.

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 value of 0 multiplied by infinity?

Any number multiplied by 0 is 0. Any number multiply by infinity is infinity or indeterminate. 0 multiplied by infinity is the question. Answer with proof required.

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 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 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.