lim(x->2) （x-2）*sin(1/2-x)为什么等于1?

lim x趋近于0 x^2sin(1/x) 等于多少?lim x趋近于0 sin(1/x)又等于多少? lim tan x - sin x / x³ lim eˆ2x - 1 / x lim(x趋向0)ln(1+sin x)/x^2 lim(sin(x^2*cos(1/x)))/x怎么做? 求极限lim(x-->0)x^2 sin(1/x), 求极限 lim sin(x^2 * sin (1/x))/x x->0 求极限 （（sin(x^3+x^2-x)+sin x) /x x→0 已知lim sinx/x=1 lim x->0(sqrt(sin(1/x^2)) 求极限 求极限 1,lim(x→∞）（sinx/x +100) 2,lim(x→∞）xtan1/x 3,lim(x→1）sin^ lim(x→0)ln（x^2+1）等于 求极限（X趋于1）lim{[sin(x-1)]^2}/x-1 求极限lim（x→1）（1-x^2）/(sinπx)