用洛必达法则求下列各极限

2025-03-02 01:33:29
推荐回答(1个)
回答1:

  多了。替你解2个:
  1)用不着洛必达法则,用等价无穷小替换即可:
   lim(x→0)(1-cosx²)/(x³sinx)
  = lim(x→0)[(x²)²/2]/(x³sinx)
  = ……

  4)lim(x→0)(1+sinx)∧(1/x)
  = lim(x→0)[(1+sinx)∧(1/sinx)]^(sinx/x)
  = e^1
  = e