[分析] e^x = x?

[dreamfire (沒有誰錯過誰)]

There is no number x in Real number such that e^x =x.
(這個問題只要畫個座標圖便可得證)

But how can I know that there is any number z in Complex number such that
e^z = z?

Thank you a lot!!!

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推 qna         :e^x =x..你的範圍是實數..?  還是有理數
→ dreamfire   :實數
推 qna         :我眼殘
推 qna         :令z= x+iy代入
→ qna         :會化成 y cscy = 2^0.5 exp(y coty) 的存在性問題
→ qna         :叫電腦畫圖 就知道有沒有解