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lim(1-(cosx)^(1/2))/(x(1-cos(x)^(1/2)) x趋向0

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lim(1-(cosx)^(1/2))/(x(1-cos(x)^(1/2)) x趋向0
lim(1-(cosx)^(1/2))/(x(1-cos(x)^(1/2)) x趋向0
x趋向0
lim(1-(cosx)^(1/2))/(x(1-cos(x)^(1/2))
=lim 1/x
=∞
lim(1-(cosx)^(1/2))/(x(1【+】cos(x)^(1/2))
=lim(1-cosx)/(x(1【+】cos(x)^(1/2)) ^2
=lim[2sin^(x/2)]/(4x)
=lim x/8
=0
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