求极限lim(x→0)∫(x,0)(cost^2dx)/x

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求极限lim(x→0)∫(x,0)(cost^2dx)/x

求极限lim(x→0)∫(x,0)(cost^2dx)/x
求极限lim(x→0)∫(x,0)(cost^2dx)/x

求极限lim(x→0)∫(x,0)(cost^2dx)/x
分子为关于x的变上限积分.当x趋于0,其也趋于0.故为0/0型,用洛必达法则
若积分从x到0(反之加负号),则
=lim[cosx^2(-1)]/1,x趋于0
=-1

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