On the criterion of limit existence in Higher Mathematics Let x > 0 have a (x)

On the criterion of limit existence in Higher Mathematics Let x > 0 have a (x)

Because if a (x) = C (x) = x
The limit of C (x) - A (x) can also be 0
And B (x) = x ~ B (x) = positive infinity when x tends to positive infinity
So there's no limit

Higher mathematics: what is the meaning of limit existence?
Does limit not exist, including infinite limit

Limit existence refers to the existence of a certain limit value, which can be calculated by appropriate operation
Limit nonexistence generally means that there is no definite value, including infinite limit

Proof of the existence of limit for higher numbers
The limit existence of sequence X1 = 2, X (n + 1) = (xn + 1 / xn) / 2

X + 1 / x > = 2, so x > = 1
So XN-1 / xn > = 0
So x (n + 1) - xn = (- xn + 1 / xn) / 2