Pointwise convergence

In mathematics, pointwise convergence is one of various senses in which a sequence of functions can converge to a particular function. It is weaker than uniform convergence, to which it is often compared. In mathematics, pointwise convergence is one of various senses in which a sequence of functions can converge to a particular function. It is weaker than uniform convergence, to which it is often compared. Suppose ( f n ) {displaystyle (f_{n})} is a sequence of functions sharing the same domain and codomain. The codomain is most commonly the reals, but in general can be any metric space. The sequence ( f n ) {displaystyle (f_{n})} converges pointwise to the function f {displaystyle f} , often written as