极限的.计算limx→正无穷[x arctanx-(π/2)x]

问题描述:

极限的.计算limx→正无穷[x arctanx-(π/2)x]

lim(x-> ∞) [xarctanx-(π/2)x]
=lim(x-> ∞) [arctanx -π/2] /(1/x) (0/0)
=lim(x-> ∞) [1/(1+x^2)] /(-1/x^2)
=0