数列极限题⊙▽⊙
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数列极限题⊙▽⊙
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![数列极限题⊙▽⊙](/uploads/image/z/4215511-55-1.jpg?t=%E6%95%B0%E5%88%97%E6%9E%81%E9%99%90%E9%A2%98%E2%8A%99%E2%96%BD%E2%8A%99%26nbsp%3B)
证明:∵0≤│n^(2/3)sinn/(n+1)│≤n^(2/3)/(n+1)
又lim(n->∞)[n^(2/3)/(n+1)]=lim(n->∞)[(1/n^(1/3))/(1+1/n)]=0/(1+0)=0
∴0=lim(n->∞)[n^(2/3)sinn/(n+1)]=lim(n->∞)[n^(2/3)/(n+1)]=0
故lim(n->∞)[n^(2/3)sinn/(n+1)]=0,证毕.
再问: 大神,,可不可以写在纸上,拍过来。。。。万分感激
再问: 呜呜,,刚刚看清楚了,,谢谢!不要拍了
又lim(n->∞)[n^(2/3)/(n+1)]=lim(n->∞)[(1/n^(1/3))/(1+1/n)]=0/(1+0)=0
∴0=lim(n->∞)[n^(2/3)sinn/(n+1)]=lim(n->∞)[n^(2/3)/(n+1)]=0
故lim(n->∞)[n^(2/3)sinn/(n+1)]=0,证毕.
再问: 大神,,可不可以写在纸上,拍过来。。。。万分感激
再问: 呜呜,,刚刚看清楚了,,谢谢!不要拍了