高等数学,极限运算,该图片中划线初是怎么出结果的?

2025-05-07 10:42:08
推荐回答(1个)
回答1:

f(x) = tanx - x,
f(nπ) = 0 - nπ = -nπ < 0,
记 x→- 表示 x 从左边趋近于 nπ+π/2,则
lim- (tanx-x)
= lim- tanx - lim- x
= +∞ - (nπ+π/2) = +∞ > 0