Question: Is Infinity Equal To Zero?

Is 0 0 undefined or infinity?

Similarly, expressions like 0/0 are undefined.

But the limit of some expressions may take such forms when the variable takes a certain value and these are called indeterminate.

Thus 1/0 is not infinity and 0/0 is not indeterminate, since division by zero is not defined..

Does infinitely small exist?

If something is infinitely small, it has no size, therefore takes up no space therefore affects nothing else and does not exist. Infinity and zero are simply concepts.

What is Ln infinity?

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

Is 0 divided by infinity indeterminate?

Thus as x gets close to a, 0 < f(x)/g(x) < f(x). ... Thus f(x)/g(x) must also approach zero as x approaches a. If this is what you mean by "dividing zero by infinity" then it is not indeterminate, it is zero.

What is the value of zero multiplied by infinity?

So, zero times infinity is an undefined real number. This is the definition of undefined. Therefore, zero times infinity is undefined. Another way of looking at this is that no one can EVER finish multiplying zero times infinity, therefore the answer will always be undefined.

Is 1 divided 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 the value of 1 plus infinity?

Example: ∞ + 1 = ∞ Which says that infinity plus one is still equal to infinity. When something is already endless, we can add 1 and it is still endless.

What’s infinity divided by infinity?

Therefore, 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.

Can you do 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=∞.

Are zero and infinity the same?

Infinity and Zero are the same point in space only separated by time. Zero is the midpoint of the {-∞ , 0, +∞} set of all integers.

What is the opposite of infinitesimal?

The opposite of infinitesimal means a value larger than the maximum possible measurement. … Analogously, if we have a 100 centimeter ruler, then any length measured longer than 100 cm is that opposite term.

Do Infinitesimals exist?

Infinitesimals were introduced by Isaac Newton as a means of “explaining” his procedures in calculus. Before the concept of a limit had been formally introduced and understood, it was not clear how to explain why calculus worked. … Hence, infinitesimals do not exist among the real numbers.

Can zero be divided by 1?

Answer: Zero divided by 1 is 0.

Is 0 divided by 5 defined?

There will be 0 objects with each friend since there are no objects to divide equally among 5 friends. That is, Hence, is defined.

Does zero mean infinity?

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.

Is infinitely small equal to zero?

The generally accepted mathematical answer is that, if you are using the Real Number Systems (aka “Reals”), there is no difference between 0 and “infinitely small”. We say the limit of x, as x approaches 0, is equal to zero.

What is over infinity?

A number over zero or infinity over zero, the answer is infinity. A number over infinity, the answer is zero.