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What happens when infinity is divided by a number?

What happens when infinity is divided by a number?

Infinity divided by any number is still infinity. In fact infinity multiplied by infinity is also equal to infinity. Even if you would consider 1 followed by infinite number of zeroes and divide it by infinity then also it would turn out to be infinity.

What is positive infinity divided by a negative number?

∞−∞
Positive infinity, when divided by negative infinity, gives the form of ∞−∞ .

What is infinity divided by 1?

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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 negative infinity divided by negative infinity?

Negative infinity divided by negative infinity is one. Negative infinity divided by positive infinity is -1. Negative infinity divided by zero is undefined, but you can define it as negative infinity if you are very very very careful in ensuring consistency in fixing up your definition of division.

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Is infinity divided by 0 infinity?

Infinity divided by zero is undefined.

What does negative infinity mean?

Infinity is just a concept of endlessness, and can be used to represent numbers going on forever. Negative infinity is the opposite of (positive) infinity, or just negative numbers going on forever.

What is the number for negative infinity?

Negative infinity is different from mathematical infinity in the following ways: Negative infinity results in 0 when divided by any other number. When divided by itself or positive infinity, negative infinity return NaN Negative infinity, when divided by any positive number (apart from positive infinity) is negative infinity. Negative infinity, divided by any negative number (apart from negative infinity) is positive infinity.

Can there be a negative infinity?

The terms positive infinity and negative infinity are used when talking about ranges of sets of numbers. If there is no number A such that all numbers in the set are greater than A (no lower bound), then the range is “from negative infinity”.

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What is negative infinity plus negative infinity?

In that setting, “infinity plus negative infinity” is indeterminate. This means that the limit of the sum depends on how the addends approach infinity. If one does so faster than the other, then it will govern the sum. We can’t “determine” the limit of the sum without knowing the individual functions.

What is E^ negative infinity?

“Negative infinity” is not a number, so “e raised to the power of negative infinity” is nothing. The principle root of a positive number raised to any real power (positive or negative) is positive.