求证lim x→∞ √x^2+1-√x^-2x+5 =1

求证lim x→∞ √x^2+1-√x^-2x+5 =1 求lim(√x^2+1)-x x→-∞ lim√x(sinx+cosx)/x+1 x→+∞ lim((√1+x^2)+x)/((√x^3+x)-x)x→+无穷大 lim (√(x^2+1)+2x)^2/(3x^2+1) x→＋∞ 求极限lim(x→-∞)[√(x^2+x-1)+xe^(1/x)] 计算lim(x →∞) [√(1+x^2)-x]x lim(√(4x²-8x+5)+2x+1),x→-∞怎么解? Lim [x^2/(x^2-1)]^x (x→∞) lim(1+x/x)2x (x→∞) 计算极限① lim(x→+∞) 1 / [ (√x^2+3x) - x ],② lim(x→1) (sinx-sin1)/(x-1) 几道大学微积分求极限的题1,lim(x→∞)｛(x-3)^12(2x+1)^8/(3x-1)^20｝2,lim(x→+∞)｛(3x³+5x²+4)/[(√x^6)+2]｝3,lim(x→∞)[x+³√(1-x³)]4,lim(x→1)｛[√(x+3)-2]/√x-1｝ lim(x →∞) (x√x sin1/x)/(√x -1) 求lim(x->∞):[√(4x^2+x-1)+x+1]/[√(x^2+sinx)] 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 √（3-x）-√（1+x）/x平方+x-2x→1 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) lim√x x→∞和lim√x x→0分别等于多少