Menu Close

S-n-4-1-n-2-6-1-n-find-n-1-S-n-and-n-1-S-n-




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
$$\mathrm{S}_{\mathrm{n}} \:\:=\:\:\left[\mathrm{4}\:−\:\frac{\mathrm{1}}{\mathrm{n}^{\mathrm{2}} \:}\:,\:\:\:\:\:\:\:\:\mathrm{6}\:+\:\frac{\mathrm{1}}{\mathrm{n}}\:\right],\:\:\:\mathrm{find}\:\:\:\:\:\:\:\:\:\:\:\cap_{\mathrm{n}\:=\:\mathrm{1}} ^{\infty} \:\mathrm{S}_{\mathrm{n}} \:\:\:\:\:\:\mathrm{and}\:\:\:\:\cup_{\mathrm{n}\:=\:\mathrm{1}} ^{\infty} \:\:\mathrm{S}_{\mathrm{n}} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *