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x→+∞ lim(2x+sinx)/(x-sinx) 上下同除以x =lim(2x+sinx)/x /(x-sinx)/x =lim(2+sinx/x)/(1-sinx/x) 因為 sinx有界;1/x為無窮小量 lim(x→+∞)sinx/x=0 故, 原式 =lim(2+0)/(1-0) =2 有不懂歡迎追問
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