10个个极限的运算求解1）lim（x-1）（3次根号下x-1）/（根号x-1)2）lim（x-∞）（x^2+1）^50/(x+1)^1003)lim(x-∞)2x+3/x+3次根号下X4)lim(x-0)sin4x/x5)lim(x-0)1-cos2x/xsinx6)lim(x-∞)[(x-1)/(x+3)]^(x+2)7)lim(x-∞)n[ln(n+3)-l

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10个个极限的运算求解1）lim（x-1）（3次根号下x-1）/（根号x-1)2）lim（x-∞）（x^2+1）^50/(x+1)^1003)lim(x-∞)2x+3/x+3次根号下X4)lim(x-0)sin4x/x5)lim(x-0)1-cos2x/xsinx6)lim(x-∞)[(x-1)/(x+3)]^(x+2)7)lim(x-∞)n[ln(n+3)-l

10个个极限的运算求解1）lim（x-1）（3次根号下x-1）/（根号x-1)2）lim（x-∞）（x^2+1）^50/(x+1)^1003)lim(x-∞)2x+3/x+3次根号下X4)lim(x-0)sin4x/x5)lim(x-0)1-cos2x/xsinx6)lim(x-∞)[(x-1)/(x+3)]^(x+2)7)lim(x-∞)n[ln(n+3)-l
10个个极限的运算求解
1）lim（x-1）（3次根号下x-1）/（根号x-1)
2）lim（x-∞）（x^2+1）^50/(x+1)^100
3)lim(x-∞)2x+3/x+3次根号下X
4)lim(x-0)sin4x/x
5)lim(x-0)1-cos2x/xsinx
6)lim(x-∞)[(x-1)/(x+3)]^(x+2)
7)lim(x-∞)n[ln(n+3)-ln(n)]
8)lim(x-0)ln(1+x)/x
9)lim(x-0)(sin3x)^2/√(1+xsinx)-cosx
10)lim(x-∞)5^[2x/(x+3)]

10个个极限的运算求解1）lim（x-1）（3次根号下x-1）/（根号x-1)2）lim（x-∞）（x^2+1）^50/(x+1)^1003)lim(x-∞)2x+3/x+3次根号下X4)lim(x-0)sin4x/x5)lim(x-0)1-cos2x/xsinx6)lim(x-∞)[(x-1)/(x+3)]^(x+2)7)lim(x-∞)n[ln(n+3)-l
1）lim（x-1）（3次根号下x-1）/（根号x-1)
=lim（x-1）（3次根号下x-1）/（3次根号x-1)(3次根号x^2+3次根号x+1)
=lim（x-1）1/(3次根号x^2+3次根号x+1)
=1/3
2）lim（x-∞）（x^2+1）^50/(x+1)^100
=lim（x-∞）x^100+.../(x^100+...)
=1
3)lim(x-∞)2x+3/x+3次根号下X
=lim(x-∞)(2+3/x)/(1+1/3次根号下X^2)
=2
4)lim(x-0)sin4x/x
=lim(x-0)4*sin4x/4x
=lim(x-0)4*4x/4x
=4
5)lim(x-0)1-cos2x/xsinx
=lim(x-0)2(sinx)^2/xsinx
=lim(x-0)2sinx/x
=lim(x-0)2x/x
=2
6)lim(x-∞)[(x-1)/(x+3)]^(x+2)
=lim(x-∞)[1-4/(x+3)]^(x+2)
=lim(x-∞)[1-4/(x+3)]^((x+3)/4))(x+2)*4/(x+3)
=lim(x-∞)e^(x+2)*4/(x+3)
=lim(x-∞)e^(1+2/x)*4/(1+3/x)
=e^4
7)lim(x-∞)n[ln(n+3)-ln(n)]
=lim(x-∞)n[ln(n+3)/n]
=lim(x-∞)[ln(1+3/n)^n]
=lim(x-∞)[ln(1+3/n)^n/3*3]
=e^3
8)lim(x-0)ln(1+x)/x
=lim(x-0)x/x
=1
9)lim(x-0)(sin3x)^2/√(1+xsinx)-cosx
=lim(x-0)(sin3x)^2/(1+1/2xsinx)-cosx
=lim(x-0)(sin3x)^2/(1/2xsinx+2(sinx/2)^2)
=lim(x-0)(3x)^2/(1/2x^2+2*(x/2)^2)
=9/(1/2+1/2)
=9
10)lim(x-∞)5^[2x/(x+3)]
=lim(x-∞)5^[2/(1+3/x)]
=lim(x-∞)5^2
=25

10个个极限的运算求解1）lim（x-1）（3次根号下x-1）/（根号x-1)2）lim（x-∞）（x^2+1）^50/(x+1)^1003)lim(x-∞)2x+3/x+3次根号下X4)lim(x-0)sin4x/x5)lim(x-0)1-cos2x/xsinx6)lim(x-∞)[(x-1)/(x+3)]^(x+2)7)lim(x-∞)n[ln(n+3)-l 求解一道极限运算题lim{sin2x+xf(x)}/x^3=1 (x→0） lim{2cosx+f(x)}/x^2这类题的通常思路是什么?1楼和2楼的答案都是错的 极限lim x趋向于0 （1-1/x）的x次方.如何求解? 求解lim(x趋近0）[（1-cosx) sin2x]/(x^3)的极限. 求解一道极限题lim【（cos2x）的1/sin2x次方】=?（x→0） 极限的运算法则!已知 lim（2n+1)an=3,lim（nan）= lim (cosx)^(1/x) 幂指复合函数极限求解 求极限lim{xln(1+2/x)}用洛必达法则求解 求解一道大一极限题 lim（x→1）(1-x^2)/sinπx lim趋于0时ln(1-x)/x的极限运算 求极限lim(x→无穷)(1+1/(1-x))^2x利用重要极限求解 lim√[x+ √(x+√x)/√(x+1),x趋近于正无穷极限的运算,难道用换元法吗? 这道题极限不存在是怎么得出的 求解lim x趋于无穷大{(x+1)/2x-1}^x 极限运算的求解 求1、lim(x→∞)10^1/x的极限 2、lim(x→1)arctanx的极限, 求解几道高数题Lim x趋于0 [e^x-e^(-x)]/(sinx) 的极限Lim x趋于0[x*cot2x] 的极限Lim x趋于0{x*[e^(1/x) ]- 1}的极限Lim x趋于0{(1/x)^tanx}的极限 一道极限题求解lim x->∞ ((2x+3)/(2x+1))^(x+1) 求解一道求极限的 具体方法和过程 lim x^2-1/x^2-2x+1 当X趋向于1时的极限