It depends. The determining factor is whether the numerator goes to infinity faster or slower than the denominator. If the numerator goes faster, then the answer is infinity. For example, as x goes to infinity, exp(x)/x goes to infinity. If the numerator goes slower, then the answer is zero. For example, as x goes to infinity, x/exp(x) goes to zero. If they go at the same rate, then the answer is intermediate. For example, 2x/x is 2 for all x, including when x goes to infinity.
The answer to this whimsical but useless exercise is: Infinity
Zero times infinity is defined as "indeterminate".
To express the idea of infinity.
infinite
A good sentence for infinity: A concept for a value that increases or decreases without bound is known as infinity.
the value of log0 is -infinity which is minus of infinity
The value of infinity - 1 is still infinity. Adding or subtracting any finite number does not change the value infinity at all, because finite numbers are too small compared to infinity.
No. That is why it is called "infinity". Infinity is actually not an accepted numerical value in calculus. It is rather a concept. For instance, (infinity) - 1 googleplex = infinity
The answer to this whimsical but useless exercise is: Infinity
Zero times infinity is defined as "indeterminate".
To express the idea of infinity.
infinite
There is no number greater than infinity. Infinity is defined to be greater than any number, so there can not be two numbers, both infinity, that are different.However, when dealing with limits, one can approach a non-infinite value for a function involving infinity. Take, for example, 2x divided by x, when x is infinity. That value is indeterminate, because infinity divided by infinity is defined as indeterminate, and 2 times infinity is still infinity.But, if you look at the limit of 2x divided by x, as x approaches infinity, you do get a value, and that value is 2. This does not mean that 2x when x is infinity is twice infinity, it just means that, right before x becomes infinity, the ratio is right before 2.Infinity should not be thought of as a number, but rather as a direction. Whereas a number represents a specific quantity, infinity does not define given quantity. (If you started counting really fast for billions of years, you would never get to infinity.) There are, however, different "sizes of infinity." Aleph-null, for example, is the infinity that describes the size of the natural numbers (0,1,2,3,4....) The infinity that describes the size of the real numbers is much larger than aleph-null, for between any two natural numbers, there are infinite real numbers.Anyway, to improve upon the answer above, it is not meaningful to say "when x is infinity," because, as explained above, no number can "be" infinity. A number can approach infinity, that is to say, get larger and larger and larger, but it will never get there. Because infinity is not a number, there is no point in asking what number is more than infinity.
A good sentence for infinity: A concept for a value that increases or decreases without bound is known as infinity.
infinity
The answer depends on what g is!
zero