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Definition of convergence in advanced mathematics
The definition of convergence in advanced mathematics is the process that exponential sequence or function sequence tends to a certain value or limit.

1. Convergence types include convergence sequence, function convergence, global convergence and local convergence. Convergence means approaching infinity, including infinitesimal or infinity. This function always approaches a certain value, which is called function convergence, that is, the function value is always constrained by a certain value, that is, convergence.

2. Definition of function convergence at a certain point. For any real number C, there is a definition that this number is greater than 0. For any two numbers A and B, it is satisfied that A minus B is greater than 0 and less than C, and the function f(x) converges to point x0. For any real number b>0, c > exists; 0, for any x 1, x2 satisfies 02, the order of convergence sequence is a series, and a is a fixed real number, if for any given b >;; 0, with a positive integer n, so that for any n >;; N, with |an-A|0, with n, when n >; N, if |a(n)-A| satisfies the above definition, the sequence {a(n)} is said to converge and converge to a.