求极限limxsin2x/x^2+1,x为趋向无穷
问题描述:
求极限limxsin2x/x^2+1,x为趋向无穷
答
答:
lim(x→∞) xsin2x/(x^2+1)
=lim(x→∞) sin2x/(x+1/x)
=lim(x→∞) sin2x/x
=0
(因为:sin2x总是有界,属于[-1,1],而x是无穷)
答案给的结果是2