求极限lim(x→0)x²/1-cosx
问题描述:
求极限lim(x→0)x²/1-cosx
答
lim(x→0)x²/1-cosx
=lim(x→0)x²/[1-(1-2sin²(x/2))】
=lim(x→0)x²/[2sin²(x/2)】
=lim(x→0)x²/(x²/2)
=2