lim x→0,[√(x^2+ x+ 1)-1]/tan2x

lim(x→0)e^x-x-1/x^2 1.lim x→0 3x/(sinx-x)2.lim x→0 (1-cosmx)/x^23.lim x→0 sin4x/[(√x+2)-√2]4.lim h →0 [sin(x+h)-sin(x-h)]/h lim(1-x)^(2/x) x->0 数学极限lim(x→0)((x^3)/(3*x^2-1)) lim(x→+无穷)(√x(x+2)-√(x^2-x+1)) lim(x→1)(tan(x-1))/(x^2-1) 求极限lim[(a^x+b^x)/2]^1/x (x→0)a>0,b>0 lim【x→0】[(a^x+b^x)/2]^(1/x) =e^ lim lim【x→0】[ln(a^x+b^x)-ln2]/x =e^ lim【x→0】[1/(a^x+b^x)]*[(lna)(a^x)+(lnb)(b^x)] =e^[(1/2)*(lna+lnb)] =√(ab) 其中 的e^ lim lim【x→0】[ln(a^x+b^x) lim(x→0) (e^x-√(x+1))/x= lim(x→无穷) (ln(1+x)-lnx)/x= lim(x→0) (ln(a+x)-lna)/x=1/2 0 1/a 求lim(√x^2+1)-x x→-∞ lim(x→0)(1-2x)^1/x 极限? lim 2（1+x）^1/x x→0 极限lim(x→0)(1-2/x)^x lim(x→0) (e^(-1/x^2))/x^100 lim(x→0)(2-e^x)^(1/x) lim(x→0)2x^3-x+1 lim(x→0)(a^2x-1)/4x 求lim(x→0)x cos 1/x lim(x→∞)x^2/ (3x-1)的极限 lim(x趋于0) (√(x^2+1)-1)/x,lim(x->0) (√(x^2+1)-1)/x lim((√1+x^2)+x)/((√x^3+x)-x)x→+无穷大 求lim(x→0)(√(1+x)/x)∧2X极限过程?