Def 7.6 A function 𝑓:𝐼⟶ℝ is called sequentially continue if (lim𝑛𝑥𝑛=𝑥)⟹(lim𝑛𝑓(𝑥𝑛)=𝑓(𝑥)) Thm 8.1 All sequentially continue function on [𝑎,𝑏] attain it’s maximum