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f(0) =0
lim(x->0) ∫(0->f(x)) f(t) dt /x^2 =1 (0/0 分子分母分别求导)
lim(x>0) f'(x). f(f(x)) /(2x) =1
[f'(0)/2] .lim(x>0) f(f(x)) /x =1
[f'(0)/2] .lim(x>0) [f(f(x)) -f(f(0)) ]/x =1
[f'(0)/2] .f'(f(0)).f'(0) =1
[f'(0)]^3 = 2
f'(0) = 2^(1/3)
lim(x->0) ∫(0->f(x)) f(t) dt /x^2 =1 (0/0 分子分母分别求导)
lim(x>0) f'(x). f(f(x)) /(2x) =1
[f'(0)/2] .lim(x>0) f(f(x)) /x =1
[f'(0)/2] .lim(x>0) [f(f(x)) -f(f(0)) ]/x =1
[f'(0)/2] .f'(f(0)).f'(0) =1
[f'(0)]^3 = 2
f'(0) = 2^(1/3)
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