Yes, ∞ and -∞ both exist as distinct entities. If I take the limit of 1/x as x approaches 0 from the positive side, I get ∞. On the other hand if I take the limit of 1/x as x approaches 0 from the negative side, I get -∞.
Chat with our AI personalities
Infinity is used in a variety of manners. Because it means going on forever, domains and ranges use infinity. For example, the domain and range of the equation y=x are both (-infinity,infinity). In calculus, infinity is commonly used in limits. This is in one of two ways; either the limit can approach infinity, or the number the limit is of can approach infinity. Normal models in statistics also use infinity.
Because zero multiplied by any number is always zero, but anything multiplied by infinity is infinity. Zero times infinity is being pulled both ways. Also, the definition of infinity is any number x divided by 0. When you multiply zero by infinity, the zeroes "cancel out", leaving absolutely nothing behind.
There is an infinity of ways of finding rectangles fulfilling this, and another infinity of ways of finding ellipses fulfilling this, and another infinity of other shapes fulfilling this.
Side ways eight
Infinity. The symbol is an eight side ways. 8. I think this because the number infinity as the definition says goes on for ever. This is pretty much as close as you will get to the right answer. The thing is this only me saying this and I don't have proof so try to find the answer if I am wrong.