求极限 arctan(1/x)lim --------------x->0+ cos(x^2)pi/2求 limit of f(x_数学解答

求极限
arctan(1/x)
lim --------------
x->0+ cos(x^2)
pi/2
求 limit of f(x) 当 x -> 0+
f(x)= (arctan(1/x))/cos(x^2)

人气：336 ℃　时间：2020-03-16 06:36:37

解答

当x->0+时,1/x->+∞,arctan(1/x)->π/2
x^2->0,cos(x^2)->1,
所以f(x)= (arctan(1/x))/cos(x^2)的极限是π/2