lim(x趋于无穷)[(x+3)/(x^2-x)]*(sinx+2),求函数极限

问题描述:

lim(x趋于无穷)[(x+3)/(x^2-x)]*(sinx+2),求函数极限

lim(x趋于无穷)[(x+3)/(x^2-x)]=lim(x趋于无穷)[(1+(3/x))/(x-1)]=0
所以,lim(x趋于无穷)[(x+3)/(x^2-x)]*(sinx+2)=0