极限X趋向正无穷大时 X(π⼀2-arctanX)

2025-04-13 19:00:13
推荐回答(3个)
回答1:

=1,见图

回答2:

=lim (π/2-arctanX) / (1/x)
=lim ( -1/(1+x²) ) / (-1/x²) {洛比达法则}
=lim x²/(1+x²)
=lim 1/( (1/x²) +1)
=1

回答3:

X(π/2-arctanX)→1.