lim（n→＋∞）∫〔0,1〕X∧2n/1＋Xdx

lim（n→＋∞）∫〔0,1〕X∧2n/1＋Xdx 求极限lim(x→∞)（1/n+2/n+3/n..+n/n） lim ∫1 x∧n╱1＋xdx＝0 n→∞ 0 lim(cos1/n)^n^2 n->∞lim (1+|x|)^1/x x->0 lim(x→0)(x/2)/sin2x还有lim(x→0+0)(根号（1-cosx)/sinx)=?lim(n→∞)(1+4/n)^n=?lim(x→∞)(1-1/x)^x=?lim(n→∞)(1+1/n)^(n+m)=?(m属于N） 计算下列极限：1）lim(n→∞) 1/n3 2）lim(n→∞)4n+1/3n-11）lim(n→∞) 1/n3 2）lim(n→∞)4n+1/3n-13) lim(n→∞) (1/3)n4)lim(n→∞)n3+2n-5/5n3-n 5) lim(n→∞)(1+1/2n)n 6) lim(n→∞)2x3-x2+1/3x2+2x-9 7) lim(x→0 )sin3x/sin7x8) 从lim(n→∞) (1/n)[1/(3 + 1/n) + 1/(3 + 2/n) + ...+ 1/(3 + n/n)] 怎么变为∫(0→1) dx/(3 + x) lim x→n (√n+1-√n)*√(n+1/2)lim x n→∞ (√n+1-√n)*√(n+1/2) 求 lim n→∞∫(上限1下限0)x^n/(1＋x^2)dx 求极限(1)lim(n->∞)∫(0,1)x^n/(1+x)dx (2)lim(n->∞)∫(n+k,n)sinx/xdx (k>0) lim n〔√(n^2+1)-n〕当n→∞时的极限 lim(x→∞）1+2+3+…+n/(n+2)(n+4)=? lim(x→0)(n/(n+1)^2)能用洛必达求吗? 求下列两个极限lim（x→∞）e^(-x^2)*∫(0→x)[t^2*e^(t^2)]dt / xlim(n→∞)[(1+1/n)(1+2/n)...(1+n/n)]^(1/n) lim∧(x→∞)(1＋2∧n＋3∧n)∧1/n＝? lim(x→∞)(1＋2∧n＋3∧n)∧(1 /n)＝? lim[n→∞] (x^n+1)^(1/n) lim(n→∞) (cos x/n)^n^2