lim(1⼀x눀-1⼀sin눀x) x→0

2025-06-26 05:50:37
推荐回答(2个)
回答1:

=lim (-x²+sin²x)/(x²·sin²x)
=lim (-x²+sin²x)/(x^4)
=lim (-2x+2sinx·cosx)/(4x³)
=lim (-2x+sin2x)/(4x³)
=lim (-2+2cos2x)/(12x²)
=lim -(1-cos2x)/(6x²)
=lim -(1/2)·(2x)²/(6x²)
= -1/3

回答2: