limx趋向无穷x分之2x-cosx的极限

limx趋向无穷x分之2x-cosx的极限
limx趋向无穷x分之2x-cosx的极限

limx趋向无穷x分之2x-cosx的极限
因为|cos(x)| ≤ 1,而x->∞,所以lim cos(x)/x = 0
x->∞时,
lim (2x - cos x) / x
= lim (2 - cosx / x)
= lim 2 - lim cos(x)/x
= 2 - 0
= 2