Maximum step size for adaptive filter convergence

1. What is convergence in LMS algorithm?
2. What is the basic modules of an adaptive filter?

What is convergence in LMS algorithm?

[7] The convergence time of the LMS algorithm depends on the step size μ. If μ is small, then it may take a long convergence time and this may defeat the purpose of using an LMS filter. However if μ is too large, the algorithm may never converge.

What is the basic modules of an adaptive filter?

The classical configurations of adaptive filtering are system identification, prediction, noise cancellation, and inverse modeling.