Incremental definition: any x in the definition field one ,x two , if x one ＞x two , with f (x one )≥f(x two ）Is called f (x) monotonically increasing in the domain.
Definition of increasing sequence: from the second item, the sequence in which each item is no less than its previous item is called increasing sequence. [2]
Strictly incremental definition: any x in the definition field one ,x two , if x one ＞x two , with f (x one )＞f(x two ）, it is said that f (x) is strictly monotonically increasing in the domain.
Strictly increasing sequence definition: from the second item, the sequence in which each item is greater than its previous item is called increasing sequence. [2]
The difference between increasing sequence and strictly increasing sequence: strictly increasing sequence imitates strictly increasing sequence Monotone increasing function The definition of an incremental sequence is based on the definition of "," and the definition of an incremental sequence considers that two adjacent terms are equal to each other as an incremental sequence. [1] The general form of increasing sequence can be written as: a one ,a two ,a three ,…,a n ,a n+1 ,a n+2 ,…
Where, a n+1 ≥a n (n ≥ 1, and n is an integer)
The item in the number sequence must be a number, which can be either a real number or a complex 。 [1] Use symbol {a n }It refers to a sequence of numbers, just "borrowing" aggregate There are essential differences between them: one The elements in a set are different, while the items in a sequence can be the same.
two The elements in the set are unordered, while the items in the sequence must be arranged in a certain order, that is, they must be ordered.
