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Firstly, infinity is not a number (at least in lower level mathematics). You must instead use the language of limits to describe infinity.

Using limits, a function which diverges to infinity multiplied by a function which diverges to infinity has a product which also diverges to infinity.

However, taking this product, and subtracting away a function which diverges to infinity is "of indeterminate form". It might converge to zero, it might be diverge to positive infinity, it might diverge to negative infinity, or it might converge to a constant.

In order to figure out which one of these possibilities applies, you must get the indeterminate form into the form infinity divided by infinity or 0/0 and then apply L'Hospital's rule.

Edit: Just a pet peeve of mine. It's L'Hôpital, not L'Hospital. Even textbooks don't spell it right.

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Q: What is infinity times infinity minus infinity?

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Since infinity is not a defined number, it is impossible to have a square root of it. its infinity!

Log zero is not defined, and if it were defined, it would be more likely to be minus infinity than infinity.

The domain is (-infinity, infinity) The range is (-3, infinity) and the asymptote is y = -3

The product is positive

Infinity is a concept, not an actual number. Someone may say the number of stars is infinite, or that the number of fractions between 0 and 1 is infinite, or that the number of even numbers is infinite. But these are not things that can be subtracted.

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minus infinity

you would think it be would but infinity is not a number but a theory so not being a number is can not be used with equations symbols like plus, minus, times etc.

Yes, to the left (towards minus infinity).Yes, to the left (towards minus infinity).Yes, to the left (towards minus infinity).Yes, to the left (towards minus infinity).

Infinity.

Any specific number minus infinity is -∞ Note if you try to subtract infinity from infinity, the answer is undefined - because infinity is a "cardinality" rather than a specific number.

the value of log0 is -infinity which is minus of infinity

As difficult as it is to understand, Infinity minus 1 is still Infinity.

minus infinity

technically, infinity is not a value and therefore cannot be defined as minus 1. There is a notion that infinity does not actually exist but only a human myth applied to those values larger than the human can calculate eg the size of the universe. Quoting Hawkins phrase "the universe stretches on infinitely" shows that infinity is not minus one. Therefore, infinity is not equal to minus 1.

Since infinity is not a defined number, it is impossible to have a square root of it. its infinity!

Infinity is a concept, not a number. Even if it were considered such, infinity plus one is also infinity, and so infinity minus one is still infinity.

No.Unless the slope is zero, every line will extend from minus infinity to plus infinity. So part of it will be negative and part positive.No.Unless the slope is zero, every line will extend from minus infinity to plus infinity. So part of it will be negative and part positive.No.Unless the slope is zero, every line will extend from minus infinity to plus infinity. So part of it will be negative and part positive.No.Unless the slope is zero, every line will extend from minus infinity to plus infinity. So part of it will be negative and part positive.

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