lim｛sinx/x - xsin(1/x)｝=x趋近于无穷

lim(x→∞) (xsin(1/x)+1/x(sinx)) lim(sinx/x+xsin(1/x)) = x->无穷 lim(x→∞)[sinx/x+xsin(1/2x)]答案是1/2.求过程 求极限lim{[(sinx)/x]+xsin(1/2x)}x趋向无穷大, lim｛sinx/x - xsin(1/x)｝=x趋近于无穷 求(x-tanx)/(xsin^2x)的极限lim(x趋于0)x^2e^(1/x^2) lim(x趋于0+)x^sinx lim(a^x-a^sinx)/(xsin^2x) ,x趋向于0. 极限lim(xsin*2/x+2/x*sinx)当x趋于0的极限 求大神解答：lim{xsin(2/x)+(2/x)sinx}等于什么?x趋于0 lim(x→∞) (xsin(3/x)+sinx /x)等于多少急! lim(x→0） x-(sinx)/xsin²x=?怎么解 x趋近于无穷 lim [xsin(1/3x) ]=? lim x→∞ xsin(1/x)求极限 lim(x→0)xsin *1/x^2 下列极限值等于1的是A lim x->0 xsin(1/x)B lim x->0 xsinxC lim x->无穷 sinx /xD lim x->无穷 xsin(1/x)但我不懂,x->无穷代入sin(1/x)不是等于0吗?即使前面的x是无穷,后面是0相乘还是0吧?还有ABC应该是等于多少 lim（x²+1/3x-2）sinπ/2 （x趋于正无穷）=?lim(sinx/2x-xsinπ/x) （x趋于正无穷)=? lim xsin(2/x) x→∞ 求高数极限题 lim(x趋于正无穷）（xsin(π/x)+(π/x)sinx) 等于多少?求详解