①lim n- ∞ \(\frac{1}{n}\)\(\sqrt{\quad}\)n (\(\sqrt{\quad}\)1+\(\sqrt{\quad}\)2+\(\sqrt{\quad}\)3+...+\(\sqrt{\quad}\)n)
②lim n- ∞ 1/\(\sqrt{\quad}\)n(1/\(\sqrt{\quad}\)n+1+ 1/\(\sqrt{\quad}\)n+2 +1/\(\sqrt{\quad}\)2n)
わかりませんのでお願いします。
★希望★完全解答★
\(\sqrt{\quad}\)1+\(\sqrt{\quad}\)2+\(\sqrt{\quad}\)3+・・+\(\sqrt{\quad}\)n
---------------------
n\(\sqrt{\quad}\)n
\(\sqrt{\quad}\)(\(\frac{1}{n}\))+\(\sqrt{\quad}\)(\(\frac{2}{n}\))+\(\sqrt{\quad}\)(\(\frac{3}{n}\))+・・+\(\sqrt{\quad}\)(\(\frac{n}{n}\))
= ------------------------------------
n
=∫(0→1)\(\sqrt{\quad}\)x dx=\(\frac{2}{3}\)
②も同じ要領で