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lim(x->0+) ∫(0->√x) ( 1- cos(t^2) dt / x^(5/2) (0/0分子分母分别求导)
=lim(x->0+) [1/(2√x)] ( 1- cosx) / [(5/2)x^(3/2)]
=lim(x->0+) [1/(2√x)] ( 1/2)x^2 / [(5/2)x^(3/2)]
= 1/10
=lim(x->0+) [1/(2√x)] ( 1- cosx) / [(5/2)x^(3/2)]
=lim(x->0+) [1/(2√x)] ( 1/2)x^2 / [(5/2)x^(3/2)]
= 1/10
追问
1/2√x哪里来的啊
追答
d/dx √x = 1/(2√x)
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