求极限lim(x→0)x²/1-cosx

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求极限lim(x→0)x²/1-cosx

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