求极限lim(x→0)∫上x下0(t-sint)dt/x^3

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求极限lim(x→0)∫上x下0(t-sint)dt/x^3

求极限lim(x→0)∫上x下0(t-sint)dt/x^3
求极限lim(x→0)∫上x下0(t-sint)dt/x^3

求极限lim(x→0)∫上x下0(t-sint)dt/x^3
lim(x→0)∫上x下0(t-sint)dt/x^3 (0/0)
=lim(x→0) (x-sinx)/(3x^2) (0/0
=lim(x→0) (1-cosx)/(6x)
=lim(x→0) (x^2/2)/(6x)
=0