limx→0 x/根号(1-cosx)

问题描述:

limx→0 x/根号(1-cosx)

lim(x→0) x/√(1-cosx)
=lim(x→0) x/√2sin ²x/2
=lim(x→0) 2/√2* (x/2)/(sin x/2)
= 2/√2
=√2
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