lim(√1+X)-(√1-X)/X (X→0) 求极限,要详细步骤,万分感谢!

lim(x趋向无穷)-(x+1)+√(x^2+1) lim(1-1/x)^√x X趋近正无穷大 lim x-无穷 (√3x^2+1)/x+1 lim((cos( √x))^(1/x)) x……0+ lim√x(sinx+cosx)/x+1 x→+∞ 求lim(√x^2+1)-x x→-∞ 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 1、lim(x->无穷大) e^x arctanx2、lim(x->0)sinx√1+sin(1/x)3、lim(x->无穷大)【（√x^2+x+1）-【(√x^2-x+1)】4、lim(x->无穷大)((x+{x+(x)^0.5]^0.5}^0.5)/(2x+1)^0.55、lim(x->0)(sin3x+x^2sin1/x)/((1+cosx)x)6、lim(n->无穷大)(2^n)(si 1.lim[(1+x)/(2+x)]^(1-√x/1-x)(x--->0+)2.lim[(x+2)/(2x-1)^(x^2)(x--->0) 求lim√(3-x)-√(1+x)/(x^2+x-2) (x->1) 求lim√(3-x)-√(1+x)/(x^2+x-2) (x->1) lim √（3-x）-√（1+x）/x平方+x-2x→1 求lim(x->∞):[√(4x^2+x-1)+x+1]/[√(x^2+sinx)] lim(x →∞) (x√x sin1/x)/(√x -1) 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(x-->0)(√(1-2x-x^2)-(1-x))/x 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)