limx趋向于0,(cosx)∧(1/x∧2)急.

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limx趋向于0,(cosx)∧(1/x∧2)急.
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limx趋向于0,(cosx)∧(1/x∧2)急.
limx趋向于0,(cosx)∧(1/x∧2)
急.

limx趋向于0,(cosx)∧(1/x∧2)急.
lim(x→0)((cosx)^(1/x^2))
=lim(x→0)[1-2sin^2(x/2)]^(1/x^2))
=lim(x→0){[1-2sin^2(x/2)]^(-1/[2(x/2)^2)]}^(-1/2)
=lim(x→0){[1-2sin^2(x/2)]^(-1/[2sin)^2(x/2)]}^(-1/2)
=e^(-1/2)