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第\(n\) 項が次の式で表される数列の極限を求めよ。
(1) \(\dfrac{4n}{\sqrt{n^2+2n}+n}\)
(2) \(\dfrac{1}{\sqrt{2n+1}-\sqrt{2n}}\)
(3) \(\sqrt{n^2+2n}-n\)
(4) \(\log_2\sqrt[n]{3}\)
(5) \(\cos n\pi\)