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2520 is a special number because it is divisible by all integers no from 1 to 10. 2520 is the smallest number divisible by all integers from 1 to 10, i.e., it is their least common multiple. At first sight, this number will be considered a normal number.
0 is the smallest even number. 0 divided by 0 is not defined. 0+0 is 0, 0–0=0, 0x0=0, 0 x any number=0, 0^0 = indeterminate.
There are zero zeroes in infinity.
Deep Learning Researcher. There are infinity of infinities. Georg Cantor actually proved this. Two common types of infinities that people are aware of are countably infinite (like natural numbers) and uncountably infinite (like real numbers).
(sometimes called the lemniscate) is a mathematical symbol representing the concept of infinity. The symbol is encoded in Unicode at U+221E ∞ INFINITY (HTML ∞ · ∞ ) and in LaTeX as /infty .
The natural log function of infinity is usually denoted as loge ∞ and is also referred to as the log function of infinity to the base e. When the variable x takes the value of infinity, it becomes e ∞ = ∞. So, limx -> ∞ex = ∞.
value of log (0) is negative infinity which is not defined. value of log(infinity) does not exists because its impossible to evaluate it. Its not a case of limit. Its an undefined case.
1 Answer. Amory W. The answer is ∞ . The natural log function is strictly increasing, therefore it is always growing albeit slowly.
Natural logarithm rules and properties
|ln of negative number||ln(x) is undefined when x ≤ 0|
|ln of zero||ln(0) is undefined|
|ln of one||ln(1) = 0|
|ln of infinity||lim ln(x) = ∞ ,when x→∞|
Therefore, infinity divided by infinity is NOT equal to one. Instead we can get any real number to equal to one when we assume infinity divided by infinity is equal to one, so infinity divided by infinity is undefined.
Infinity divided by zero is undefined.
As it means all negative numbers, it is not considered a set constant number such as 7, -2, etc., but instead it is not marked as a number at all. Minus infinity just means all negative numbers, not a number itself. So, the answer to 1 divided by minus (negative) infinity is undefined or nonexistent.