Why 1 0 does not exist?

In mathematics, expressions like 1/0 are undefined. But the limit of the expression 1/x as x tends to zero is 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.


Why 1 by 0 is not defined?

Just say that it equals "undefined." In summary with all of this, we can say that zero over 1 equals zero. We can say that zero over zero equals "undefined." And of course, last but not least, that we're a lot of times faced with, is 1 divided by zero, which is still undefined.

Why is 1 0 undefined and not infinity?

As we cannot guess the exact number, we consider it as a length of a number or infinity. In normal cases, the value of something divided by 0 has not been set yet, so it's undefined.


How do you prove 1 0 is infinity?

1/0 is undefined and NOT infinity . Though 1/x , when x tends to 0 (from the right side )is +infinity . This means when x gets closer to 0 it gets arbitrarily large , and by getting as closer to 0 , I can make 1/x greater than any natural number . Infinity is not a number it is a concept .

How do you explain why a limit does not exist?

If the graph has a vertical asymptote and one side of the asymptote goes toward infinity and the other goes toward negative infinity, then the limit does not exist. If the graph has a hole at the x value c, then the two-sided limit does exist and will be the y-coordinate of the hole.


Why can't you divide by zero? - TED-Ed



What are the 3 conditions for a limit to exist?

Note that in order for a function to be continuous at a point, three things must be true:
  • The limit must exist at that point.
  • The function must be defined at that point, and.
  • The limit and the function must have equal values at that point.


Why is 1 divided by 0 equal to infinity?

Note: We must remember that the value of 1 divided by 0 is infinity only in the case of limits. The word infinity signifies the length of the number. In the case of limits, we only assume that the value of limit x tends to something and not equal to something. So, we consider it infinity.

Why we Cannot divide by zero?

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.


How do you prove that one equals zero?

Subtracting 1 from both sides, 1 = 0.

Is 1 0 indeterminate or undefined?

1/0=x/0 which doesn't work (x represents any number). That means that 1/0, the multiplicative inverse of 0 does not exist. 0 multiplied by the multiplicative inverse of 0 does not make any sense and is undefined. Therefore both 1/0 and 0/0 are undefined.

What is the answer if 0 is divided by 1?

Summary: Zero divided by 1 is 0.


Why is 1 ∞ not equal to 1?

Why is the value of 1 power infinity not equal to 1? Because you cannot multiply anything(s) infinite number of times.

Is 1 0 undefined or infinity?

In mathematics, expressions like 1/0 are undefined. But the limit of the expression 1/x as x tends to zero is 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.

Is 0 and infinity the same thing?

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.


Can you divide by infinity?

Answer and Explanation: Any number divided by infinity is equal to 0.

What is the largest number in the world?

A "googol" is the number 1 followed by 100 zeroes. The biggest number with a name is a "googolplex," which is the number 1 followed by a googol zeroes.

Why is infinity not a number?

Infinity is not a number, but if it were, it would be the largest number. Of course, such a largest number does not exist in a strict sense: if some number n n n were the largest number, then n + 1 n+1 n+1 would be even larger, leading to a contradiction. Hence infinity is a concept rather than a number.


Who is discovered by zero?

Brahmagupta, an astronomer and mathematician from India used zero in mathematical operations like addition and subtraction. Aryabhatta introduced zero in 5th century and Brahmagupta introduced zero in calculations in around 628 BC. Therefore, it can be said that Aryabhatta invented zero.

Do numbers never end?

The sequence of natural numbers never ends, and is infinite. OK, 1/3 is a finite number (it is not infinite). There's no reason why the 3s should ever stop: they repeat infinitely. So, when we see a number like "0.999..." (i.e. a decimal number with an infinite series of 9s), there is no end to the number of 9s.

Can you have negative infinity?

About Infinity

Similarly, there is a concept called negative infinity, which is less than any real number. The symbol “-∞” is used to denote negative infinity.


Why do you think 0 is 1?

To find the value of zero factorial, we ask, “How many ways can we order a set with no elements?” Here we need to stretch our thinking a little bit. Even though there is nothing to put in an order, there is one way to do this. Thus we have 0! = 1.

What limits does not exist?

Tip: Technically, a limit doesn't exist if the value at that function is infinity. But knowing that a number approaches infinity at a certain point is extremely useful, so we say that: lim f(x) = ∞.

Can a limit exist at a hole?

If there is a removable discontinuity (also known as a 'hole') in the curve of the graph at x = c, then the limit does exist on the graph of a function.