Quick Answer: Is 1 0 Undefined Or Infinity?

Why is 1 Infinity undefined?

If we look at the graph of 1^x, it’s not a straight line, but actually a curve with an asymptote at x=infinity.

Since the asymptote is a line that a curve gets infinitely close to, but never reaches, the function can never reach a real value at x=infinity.

Hence, we say it is undefined..

Who is the father of mathematics?

ArchimedesArchimedes is known as the Father Of Mathematics. He lived between 287 BC – 212 BC. Syracuse, the Greek island of Sicily was his birthplace.

What is infinity divided 1?

1 divided by infinity: Therefore, we consider it as zero. The larger the denominator, the closer the quotient gets to 0. So, we consider the result as 0.

Is 0 an undefined number?

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 solution, so any non-zero number divided by 0 is undefined.

Can zero be divided by 1?

Explanation: A number divided by zero will become zero or there is no real solution to the question.

Who invented 0 in India?

AryabhataWhat is widely found in textbooks in India is that a mathematician and astronomer, Aryabhata, in the 5th century used zero as a placeholder and in algorithms for finding square roots and cube roots in his Sanskrit treatises.

Who invented math?

Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

What is infinity divided 0?

Infinity is undefined. So some undefined value is getting divided by zero. So it is undefined as we dont know how many zeros constitute infinity.

What is 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.

Is 0 0 undefined or infinity?

In ordinary arithmetic, the expression has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a ≠ 0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 00 is also undefined; when it is the form of a limit, it is an indeterminate form.

What is 1 to the infinity power?

What is the value of one to the power infinity? 1 raised to power infinity is always 1. If one considers LHL, x will tend to 1 (from left side of 1 on the number line) but will always be less than 1, and raising infinity on something which is less than one will approach to ZERO.

What is the difference between 0 1 and 0?

0/1 is equal to 0, because 1 goes 0 times into 0. On the other hand, 1/0 is equal to infinity, because zero goes infinite times into 1, but never makes 1, therefore, infinity.

What is infinity minus infinity?

So in this case “infinity minus infinity” is 0.

Is 1 divided by 0 infinity or undefined?

Since infinity isn’t a real number, we don’t assign any value to 1/0. We just say it’s undefined. But let’s say we did assign a value. Let’s say that infinity is a real number, and 1/0 is infinity.

Who invented 0?

MayansThe first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.

Is dividing by zero infinity?

A number divided by zero is not infinity. Division by zero is undefined and meaningless. Any number N multiplied by zero equals zero. … As such, the expression “0/0” is said to be indeterminate and therefore undefined.

What does Siri say when you ask her what is 0 divided by 0?

It’s commonly known that it’s impossible to divide any number by 0; the answer is undefined. But many agree Siri’s response to the question is startlingly insulting—and maybe a little bit funny. Her answer: “Imagine that you have 0 cookies and you split them evenly among 0 friends.

Is 0 a rational number?

Yes, 0 is a rational number. Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to zero. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.