  This article investigates the convergence properties of s-numbers of certain
truncations of bounded linear operators between Banach spaces. We derive a
generalized version of a convergence result known for approximation numbers of
truncations of operators in this regard. Utilizing the interrelation between
approximation numbers and other prominent s-numbers of an operator, along with
the generalized convergence result, we obtain the desired convergence of
s-numbers of truncated operators to those of the original operator. Some
illustrative examples are provided to demonstrate the convergence results and
also to establish the essentiality of certain assumptions made in deriving the
results
