lim(x+1)^1/2-(1-x)^1/2)/x^1/sin3x,x趋近于0极限怎么计算?lim【(x+1)^1/2-(1-x)^1/2)】/sin3x,x趋近于0极限怎么计算？谢谢上面这位老师，我的题写错了 不过还是很感谢，希望老师继续指教！

lim(1-x)^(2/x) x->0 极限：lim(x->2)1/(x-2) lim(1-(5/x))^x-2 lim(x+e^2x)^(1/sinx) lim（x-3/x+1）^x lim趋向无穷大 Lim(x>1) x-1/x^2+x-2.计算 lim x→1 x-1/x^2-x lim(x^2+1/x^2-2x)^x=? lim(x->无穷大){(2^x-3^x)/2}^(1/x) Lim [x^2/(x^2-1)]^x (x→∞) lim x->正无穷大 x ( sqrt(x^2+1)-x ) lim(x->0)((2-x)/(3-x))^1/x lim(1+x/x)2x (x→∞) lim(x→0)e^x-x-1/x^2 lim(x+1/x+2)^x=?x趋于无穷 lim(x趋于无穷)(x/1+x)^(x+2)=? lim[(x-1)/(x+1)]^x lim (e-(1+x)^(1/x))/x