lim n->无穷大时,((1+2½+3ˆ(1∕3)+…)∕n)的极限.请用数列stolz公式做
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![lim n->无穷大时,((1+2½+3ˆ(1∕3)+…)∕n)的极限.请用数列stolz公式做](/uploads/image/z/14757790-22-0.jpg?t=lim+n-%3E%E6%97%A0%E7%A9%B7%E5%A4%A7%E6%97%B6%2C%28%281%2B2%26frac12%3B%2B3%26%23710%3B%281%E2%88%953%29%2B%E2%80%A6%29%E2%88%95n%29%E7%9A%84%E6%9E%81%E9%99%90.%E8%AF%B7%E7%94%A8%E6%95%B0%E5%88%97stolz%E5%85%AC%E5%BC%8F%E5%81%9A)
lim n->无穷大时,((1+2½+3ˆ(1∕3)+…)∕n)的极限.请用数列stolz公式做
lim n->无穷大时,((1+2½+3ˆ(1∕3)+…)∕n)的极限.请用数列stolz公式做
lim n->无穷大时,((1+2½+3ˆ(1∕3)+…)∕n)的极限.请用数列stolz公式做
令An=1+2½+3ˆ(1∕3)+…n^(1/n);Bn=n;
则有
lim n->无穷大时,((1+2½+3ˆ(1∕3)+…)∕n)
= lim n->无穷大时,(A(n+1)-An)/((n+1)-n)
= lim n->无穷大时,n^(1/n)
=1
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