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What is the limit of infinity over zero?

Updated: 4/28/2022
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11y ago

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infinity?

Infinity over zero is undefined, or complex infinity depending on numbers you are including in your number system.

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Q: What is the limit of infinity over zero?
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How much is x over infinity?

X over infinity does not exist but you can predict what it would be as you approach infinity, the limit, so to speak. It should be zero, if it does approach a number.


How many zero's are in the number infinity?

infinite means no limit.


Can you use L'hopital's rule for functions?

Yes. The rule is used to find the limit of functions which are an indeterminate form; that is, the limit would involve either 0/0, infinity/infinity, 0 x infinity, 1 to the power of infinity, zero or infinity to the power of zero, or infinity minus infinity. So while it is not used on all functions, it is used for many.


What is Zero multiplied by Infinity?

It is undefined. In infinities and infinitessimals we use limits, so we see trends as we approach a limit. However this gives different answers, The limit as A approaches infinity of A x 0 is 0. But the limit as B approaches zero of infinty x B is infinite. To be well-defined both of these answers need to be the same.


Why the number 0 has no reciprocal?

Division by zero is not allowed/defined. So you cannot take 'one over zero', or have zero in the denominator.Without going too technical, a person might say that 1/0 is infinity, and it sounds good. But if you have a function [say f(x) = 1/x] and take the limit of f(x) as x approaches zero, then f(x) approaches infinity as x approaches from the right, but it approaches negative infinity as you approach from the left, therefore the limit does not exist.


What is zero to the fourth power?

Zero to any non-zero real number power is equal to zero. Unless a function evaluates to 'zero to the infinity power' then you must take limits to determine what the limit evaluates to. Zero to the zero power is undefined, but you can take a limit of the underlying function to determine if the limit exists.


What is the slope of a vertical line or division by zero?

The slopes of vertical lines and the results of divisions by 0 do not exist because there are multiple answers. A line that is vertical can have a slope of infinity or negative infinity. Same with division by zero. Picture the graph 1/x. As the graph approaches zero from the left, it goes toward negative infinity, then jumps to positive infinity. There are two answers, and neither of them are real numbers. The limits do exist though. The limit of 1/x as x approaches zero from the left is negative infinity. and the limit as it approaches the right is positive infinity.


Can infinity be a limit?

No, because infinity has no limit.


What is the limit of trigonometric function csc 2x cos 5x as x tends to zero?

The answer depends on the side from which x approaches 0. If from the negative side, then the limit is negative infinity whereas if from the positive side, it is positive infinity.


How you use limit in your daily life?

TIME goes to infinity so that LIFE goes to zero. Rafaqat khan


Is 10 divided by 0 infinity?

Undefined: You cannot divide by zero


Is infinity zero?

Infinity cannot, by definition, be a defined number such as zero.