1+1/2+1/3+……+1/n N趋近无穷大 极限怎么求?RT
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1+1/2+1/3+……+1/nN趋近无穷大极限怎么求?RT1+1/2+1/3+……+1/nN趋近无穷大极限怎么求?RT1+1/2+1/3+……+1/nN趋近无穷大极限怎么求?RTf(n)=1+1/2
1+1/2+1/3+……+1/n N趋近无穷大 极限怎么求?RT
1+1/2+1/3+……+1/n N趋近无穷大 极限怎么求?
RT
1+1/2+1/3+……+1/n N趋近无穷大 极限怎么求?RT
f(n)=1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+...
g(n)=1/2+1/2+(1/4+1/4)+(1/8+1/8+1/8+1/8)+...=k/2
f(n)>g(n)
lim(n→∞)g(n)=lim(k→∞)k/2=∞
所以
lim(n→∞)f(n)=∞
证明lim n趋近无穷大 [1+2^(1/2)+3^(1/3)+…+n^(1/n)]/n=1
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