求级限lim x→1 sin(x-1)/x的平方-1?

LIM(X→∞)X*SIN(1/X) lim （x→0）x sin 1/x= (lim→-1)sin(x+1)/2(x+1) lim(n→1)sin(1-x)/(x^3-1) 求级限lim x→1 sin(x-1)/x的平方-1? 求 lim(x→1)sin(x+1)/x+1 求 lim(x→2)x²-4/x-2 lim x(x+2)/x^2 (x→oo)lim 1/sin(x-2) (x→2) 求极限 （（sin(x^3+x^2-x)+sin x) /x x→0 已知lim sinx/x=1 求极限lim(x→∞）(sin√x+1-sin√x) 求极限lim(x→+∞)(sin√(x+1)-sin√x) 请教一道函数极限问题：lim[sin√（x^2+1)-sin(x)] (x→+∞) 三角函数极限问题lim﹙x→∞﹚(sin根号x+1-sin根号x), lim(sin√(x+1)-sin√x) x→+∞ lim sin(x2-1)/x-1 证明lim(x→0)x*sin(1/x)=0我的证明如下:lim(x→0)x*lim(x→0)sin(1/x)因为lim(x→0)x为无穷小量.0 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平方-1/sin(x-1),x趋于1 lim sin(x-1)/x-1 x趋向无穷