求极限lim(x->0) 1/x^3 {[(2+cosx)/3]^x-1}求极限lim(x->0)1/x^3 {[(2+cosx)/3]^x-1}

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/18 10:22:37
求极限lim(x->0) 1/x^3 {[(2+cosx)/3]^x-1}求极限lim(x->0)1/x^3 {[(2+cosx)/3]^x-1}
x){ټƗ3'djTh*W+TGki'WhUb*ť&Hq ԣ_`gCKۂeSs4`*ts5*bR* +cSҬP@4BR0E$kr Qqf7At4 BqFPC}3<;hـ9:&>ݰ/'?ٻO=3e{)+{MlT$S

求极限lim(x->0) 1/x^3 {[(2+cosx)/3]^x-1}求极限lim(x->0)1/x^3 {[(2+cosx)/3]^x-1}
求极限lim(x->0) 1/x^3 {[(2+cosx)/3]^x-1}
求极限lim(x->0)
1/x^3 {[(2+cosx)/3]^x-1}

求极限lim(x->0) 1/x^3 {[(2+cosx)/3]^x-1}求极限lim(x->0)1/x^3 {[(2+cosx)/3]^x-1}
=1/x^3{e^[ln((2+cosx)-ln3)*x]-1} e^x~1+x
=1/x^3[ln((2+cosx)-ln3)*x] ln(1+x)~x
=1/x^2[(2+cosx)/3-1]
=1/x^2[(cosx-1)/3]
=1/x^2(-2sin^2(x/2))/3
=-2/3*(1/2)^2
=-1/6

我就知道你这厮会采用这种方法

lim(1-x)^3/x 求极限~ lim*[ln(1+3X)]/sin4X {X->0}求极限lim*[ln(1+3X)]/sin4X {X->0} 求极限 求lim(x→0)x cos 1/x lim(x→∞)x^2/ (3x-1)的极限 求极限lim{x-0}(sinx)/X^3+3x 求极限 lim/x-0 (根号x+1) -1/x 求极限 lim (x->0) 3x/(sinx-x) 求极限lim(x→0)x-sinx/x^3 求极限 lim x^3/(x-sinx) x->0 求极限,lim x趋于0 x * sin 1/x 求极限lim Ln(1+x) /x > .< x→0 求极限 lim x趋向0(x+ex)1/x 求函数极限：lim(x->0) (cos x)^(1/x) 求极限lim(x-->0)x^2 sin(1/x), 求极限lim(1-2/x+3/x^2)^x 求极限x->0lim(tg^2(2x)/x^3)(1-x/(e^x-1)) lim x-0 sin2x/x 求极限 lim(x->0)arctan1/x求极限 求极限lim(x->0)x^sinx,