Sequences of Functions

A sequence of functions is a list of functions arranged in a specific order, like a series of steps. Each function in the sequence is defined for the same input, and as you go along the sequence, these functions can change. Mathematically, we often study whether the functions become closer to a particular function as the sequence progresses, which helps us understand limits and behaviors in calculus and analysis. Essentially, it’s a way to examine how functions evolve or approximate each other over a series of steps.