1 time infinity equals infinity. Infinite divided by infinite equals 1. There's your answer.
* * * * *
Except that it is not true. 1 times infinity is, indeed, infinity. But infinity divided by infinity need not be 1. See for example, the paradox of Hibert's Hotel at the attached link.
Chat with our AI personalities
Infinite surd is a term used in mathematics. The definition of an infinite surd is a never ending irrational number with an exact value that would be left in square root form.
Assume y = 4.5. Then, the value of x is infinite! Why? We are given the expression y = 4.5. What if we take x = 1? Then, y = 4.5. What if x = 2? Then, we also have y = 4.5. Same pattern for other x values. Therefore, there are infinitely many solutions for x. * * * * * The value of x is not infinite, it is indeterminate. The number of possible values of x is infinite.
There are infinitely many. For each value of x there is a value of y, and there are an infinite number of values of x to start with.
No. A function must have no more than 1 y-value for each x-value. A vertical line has an infinite number of y-values at a single x-value.
The geometric series is, itself, a sum of a geometric progression. The sum of an infinite geometric sequence exists if the common ratio has an absolute value which is less than 1, and not if it is 1 or greater.