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※ 引述《zxc45693 ()》之銘言: : 求解14,15題,感恩 : https://i.imgur.com/XSiXPvn.jpg
14. |x - 2| < 1 => |x| < 3 |x^2 - 4| = |x - 2||x + 2| < |x - 2|[|x| + 2] < |x - 2|5 取δ = min(1, ε/5) => |x^2 - 4| = |x - 2||x + 2| < (ε/5) (3 + 2) = ε 15. f(x) = √x |√x - 2| = |x - 4|/|√x + 2| < δ/2 <= ε 任選滿足0 < δ <= 2ε的δ均可 例如0.2 -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 61.56.10.112 ※ 文章網址: https://www.ptt.cc/bbs/Math/M.1506764733.A.05E.html