求极限 lim (1+1/x)^(2x-1)/2 x趋于无穷大

求极限lim(1-2/x+3/x^2)^x 求极限lim(x-->0)x^2 sin(1/x), lim(1-x)^3/x 求极限~ 求极限：lim(1+1/x)(2-1/x²) 求极限：lim(1-2x)^(1/x), 求极限lim【1-cosmx)/x^2】,x趋向0 求极限：lim(x*sin(1/x))^2 lim x->0(sqrt(sin(1/x^2)) 求极限 lim 1/2x x-->0 求极限 求lim(1-cos2x)/x^2极限,x→0 求极限lim(x→0) (1-sinx)^(2/x) 求极限 lim(x→0)(1-sinx)^(2/x) lim(1+tan×)^1/x求极限 极限：lim(x->2)1/(x-2) 求极限ln(1+2x)/sin(1+2x),lim x->0求它极限. lim(1+2x)^1/x求极限（lim下是x~0) 求极限lim x→∞ (x/(1+x))^x 求极限lim(x→无穷)(1+1/(1-x))^2x利用重要极限求解