Since s tol a noa. or tne ponis u, 1, z, and 3, is tol an oopen sel. ex. it f is a closed bounded set, then every infinite subset s of f has limit point in f. s

SInce S TOl a noa. Or tne ponis U, 1, Z, and 3, IS TOL an oOpen seL. Ex. It F is a closed bounded set, then every infinite subset S of F has limit point in F. Since S is a subset of the bounded set F, so S is a bounded and infinite set. By Bolzano Weierstrass Theorem, S has a limit point, say p. Since Sc F, so p is also a limit point of F. Since F is a closed set and p is a limit point of F, so p E F. Hence S has its limit point in F. Sol. 1E A and D ic dlacAd chow that A e D ie a A ic alcsas and