[微積] 泰勒展開式
e^x 在 x = 0 的泰勒展開式到第三階
這我們由微積分就知道
e^x = 1 + x + x^2/2! + x^3/3!
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今天我的小考題目是
e^(x+y) 在 x = 0, y = 0 的泰勒展開式到第三階
結果有學生直接寫下
e^(x+y) = 1 + (x+y) + (x+y)^2/2! + (x+y)^3/3!
答案是對的,可是這是怎麼看到的
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