百科知识

lim(x趋进于0)时sin5x/sin3x=?(过程)

2008-10-14 21:36:00d***
lim(x趋进于0)时sin5x/sin3x=?(过程):x→0lim(sin5x/sin3x)=?解:x→0lim(sin5x/sin3x=x→0lim(5x?

最佳回答

  • x→0lim(sin5x/sin3x)=?解:x→0lim(sin5x/sin3x=x→0lim(5x/3x)=5/3※当x→0时,5x与sinx是等价无穷小,3x与sin3x是等价无穷小,可以互相替换。用此类替换,可大大简化计算。
    2008-10-15 20:23:00
  • 解: (x→0)lim sin5x/sin3x 罗比达法则 =(x→0)lim (5cos5x)/(3cos3x) =5/3
    2008-10-15 21:36:00
  • 很赞哦! (261)