大一高数极限经典例题 大一高数求极限题如图
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x^2n=0\uff0c\u6240\u4ee5f(x)=-1\uff1b
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\uff5cx\uff5c\uff1d1\u65f6\uff0cf(x)=0\u3002
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[ 1/(n^2-1) - 0 ] = 1/(n^2-1) \uff0c
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\u5bf9\u4efb\u610f\u7684\u03b4\uff1e0\uff0c\u5b58\u5728N\uff1d[1/\u03b4 + 1]+1\uff0c\u5bf9\u4efb\u610f\u7684n\u2265N\uff0c|Xn-a|\uff1c\u03b4\uff0c
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由对称性可得, S=4∫(0-->2)(4 - x²)dx =4x - 1/3 * x³ | (0-->2) =16/3, Vy=2∫(0-->4) π(√y)² ...
C(x)=0.5x/100-x求当x趋向于100时的极限
大一高数极限经典例题
大一高数极限经典例题
绛旓細鍒嗗瓙銆佸垎姣嶅悓涔樹互 [鈭(1+x) + 鈭(1-x)]*[(1+x)^(2/3) + (1+x)^(1/3) *(1-x)^(1/3) + (1-x)^(2/3)]鍒欏師鏋侀檺鍙樻崲涓猴細=lim[(1+x) -(1-x)]*[(1+x)^(2/3) + (1-x^2)^(1/3) + (1-x)^(2/3)]/{[鈭(1+x) + 鈭(1-x)]*[(1+x) - (1-x...
绛旓細1銆俵im(n鈫掆垶)cos (n蟺/2)/n=1銆俵im(.n鈫掆垶)Xn=0锛岃ВN鏃讹紝N蹇呴』婊¤冻1/N<未.鍗砃=1/未.未=0.001,n=1000.2.a涓哄父鏁帮紝鎵浠ュ綋n鈫掆垶锛宭im(x鈫掆垶)a²/n²=0,鎵浠im(n鈫掆垶)鏍瑰彿涓嬶紙1+a²/n²锛=lim(n鈫掆垶)1=1 鎴栵細娆蹭娇|鏍瑰彿涓嬶紙1+a²/n&sup...
绛旓細鍥炵瓟锛氳繍鐢ㄦ礇蹇呰揪娉曞垯,鍘熷紡=lim(x->1)[1-x^x(1+lnx)]/(-1+1/x) =lim(x->1)[1-x^x(1+lnx)]/(x-1) 缁х画鐢ㄦ礇蹇呰揪 鍘熷紡=lim(x->1)[-x^x(1+lnx)^2-x^(x-1)] =-1-1=-2
绛旓細璇佹槑锛(1)鈭 鏁板垪Xn濂囨暟椤硅秼鍚慉 鈭 浠荤粰蔚>0锛屽瓨鍦∟1锛屽綋n>N1 鏃躲|X(2n+1)-A| < 蔚 鈭 鏁板垪Xn鍋舵暟椤硅秼鍚慉 鈭 浠荤粰蔚>0锛屽瓨鍦∟2锛屽綋n>N2 鏃躲|X(2n)-A| < 蔚 鍙 N=max(2N1+1,2N2)锛屽垯 n>N 鏃躲|Xn-A| < 蔚 鈭 Xn鐨鏋侀檺鏄疉 (2)鈭 x瓒嬪悜姝ｆ棤绌锋椂锛宭im f(x)...
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绛旓細鐢ㄥ埌绛変环
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