Question Number 47199 by Tawa1 last updated on 06/Nov/18
![S_n = [4 − (1/(n^2 )) , 6 + (1/n) ], find ∩_(n = 1) ^∞ S_n and ∪_(n = 1) ^∞ S_n](https://www.tinkutara.com/question/Q47199.png)
$$\mathrm{S}_{\mathrm{n}} \:\:=\:\:\left[\mathrm{4}\:−\:\frac{\mathrm{1}}{\mathrm{n}^{\mathrm{2}} \:}\:,\:\:\:\:\:\:\:\:\mathrm{6}\:+\:\frac{\mathrm{1}}{\mathrm{n}}\:\right],\:\:\:\mathrm{find}\:\:\:\:\:\:\:\:\:\:\:\cap_{\mathrm{n}\:=\:\mathrm{1}} ^{\infty} \:\mathrm{S}_{\mathrm{n}} \:\:\:\:\:\:\mathrm{and}\:\:\:\:\cup_{\mathrm{n}\:=\:\mathrm{1}} ^{\infty} \:\:\mathrm{S}_{\mathrm{n}} \\ $$