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limsin3x tAn5x

解: 不断运用洛比达法则。 (1) tan5x 5/cos²5x 5/cos²(5π) 5 lim ------- = lim ---------- = ------------ = --- = 5/3 x→π tan3x x→π 3/cos²3x 3/cos²(3π) 3 (2) sinx-xcosx cosx-cosx+xsinx lim ------------ = lim ---...

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