lim(x趋向0)[1-cos(1-cos2x)]/x^4怎么解?

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lim(x趋向0)[1-cos(1-cos2x)]/x^4怎么解?lim(x趋向0)[1-cos(1-cos2x)]/x^4怎么解?lim(x趋向0)[1-cos(1-cos2x)]/x^4怎么解?l

lim(x趋向0)[1-cos(1-cos2x)]/x^4怎么解?
lim(x趋向0)[1-cos(1-cos2x)]/x^4怎么解?

lim(x趋向0)[1-cos(1-cos2x)]/x^4怎么解?
lim(x→0)[1-cos(1-cos2x)]/x^4
=lim(x→0)1/2*(1-cos2x)^2/x^4(等价无穷小代换(1-cosx~x^2/2))
=lim(x→0)1/2*1/2*(2x)^2/x^4(等价无穷小代换(1-cosx~x^2/2))
=1