高等数学，求极限 高等数学 求极限！
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=lim((1+x²/2)²-(1+x²))/(cosx-1+1-e^x²)x²(1+x²/2+√(1+x²)
=lim(1/4)x^4/(-x²/2-x²)x²*2
=(1/4)/-3
=-1/12
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绛旓細鍒╃敤閲嶈鏋侀檺[1+(1/x)]^x=e锛屽鍥撅細
绛旓細limx->+鈭 (x+e^x)^1/x =limx->+鈭 e^ln(x+e^x)^1/x =limx->+鈭 e^ 1/x ln(x+e^x)=limx->+鈭 e^ ln(x+e^x) / x 鈭/鈭炲瀷 =limx->+鈭 e^ 1/(x+e^x) *(1+e^x) / 1 =limx->+鈭 e^ (1+e^x) / ...
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绛旓細5 宸鏋侀檺 lim<x鈫0->(2^x-1)/[2+2^(1/x)] = (1-1)/(2+0) = 0;鍙虫瀬闄 lim<x鈫0+>(2^x-1)/[2+2^(1/x)] = 0锛屽洜鍒嗗瓙鏋侀檺鏄0锛屽垎姣嶆瀬闄愭槸鏃犵┓澶с傚垯 lim<x鈫0>(2^x-1)/[2+2^(1/x)] = 0 6. 宸︽瀬闄 lim<x鈫0->{[2+e^锛1/x)]/[1+e^(4/x...
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绛旓細璁緁:(a,+鈭)鈫扲鏄竴涓竴鍏冨疄鍊煎嚱鏁,a鈭圧.濡傛灉瀵逛簬浠绘剰缁欏畾鐨勎>0,瀛樺湪姝ｆ暟X,浣垮緱瀵逛簬閫傚悎涓嶇瓑寮弜>X鐨勪竴鍒噚,鎵瀵瑰簲鐨勫嚱鏁板糵(x)閮芥弧瓒充笉绛夊紡.鈹俧(x)-A鈹<蔚,鍒欑О鏁癆涓哄嚱鏁癴(x)褰搙鈫+鈭炴椂鐨鏋侀檺,璁颁綔f(x)鈫扐(x鈫+鈭).渚媦=1/x,x鈫+鈭炴椂鏋侀檺涓簓=0鍑芥暟鏋侀檺鏄楂樼瓑鏁板鏈鍩烘湰...
