lim(x→∞) (1-1/(x+1))^(-x-1)=lim(x→∞) (1/(x+1))^(-x-1)lim(x→∞

lim(x→∞)[(a x^2)/x+1]+bx=lim(x→∞)(a x^2)+bx(x+1) / x+1=lim(x x→+∞,lim（1+a/x)^x=? 求极限lim(x→0)sinxsin(1/x);lim(x→∞)(arctanx/x) lim(x→∞)[sinx/x+xsin(1/2x)] 几道求极限的高数题,lim1/x(tanπx/(2x+1)) x→∞lim x(x^x-1)x→0+lim(x^x^x- 求lim(x→0)x cos 1/x lim(x→∞)x^2/ (3x-1)的极限 lim(0-∞)/(x+1) 求极限 lim(x→∞)5x/(x-4) 求极限 lim(x→-∞)[(√1-x)-3] 1.4求极限lim(x→∞) (x^2+x)/ (x^4-3x^+1) lim(x→∞)(x^2+x)/(x^4-3x-1)的极限 求极限：lim(x→+∞)[ln(x+1)-lnx] lim(x→∞)xe^(-1/x)要步骤谢谢