Super Verification:超強驗證碼!

perfect_verification
在 Digg 上看到的,這樣應該不會被探知機器人找到答案了?建議 Yahoo! 奇摩知識+ 使用這個認證系統來先檢驗一下知識程度... XD
有人知道答案嘛?Try it!

結果底下有人回覆:
the answer is always (c).
馬上有人回應
the answer is not always (c).
並且有人找出更多怪異有趣的 Words Verification 的抓圖,真的是好玩啊!

答案是:
lim {x->0} ln(2+(atan(x) * sin(1/x)) ** 1/2)
lim {x->0} ln(2+(atan(x) * (-1)) ** 1/2) less than or equal to lim {x->0} ln(2+(atan(x) * sin(1/x)) ** 1/2) less than or equal to lim {x->0} ln(2+(atan(x) * (1)) ** 1/2)
because lim {x->0} atan(x) = 0,
ln(2) less than or equal to lim {x->0} ln(2+(atan(x) * sin(1/2)) ** 1/2) less than or equal to ln(2)
so, the answer is ln2.
結果拼上了!有人寫出更完整的答案!還付帶 Wikipedia 的解釋,後,太認真!