[Solution] Find the limit that exists. (a) lim _n \rightarrow+∞ √n(√n+1-√n), (b) lim _n \rightarrow+∞


Question: Find the limit that exists. (a) \(\lim _{n \rightarrow+\infty} \sqrt{n}(\sqrt{n+1}-\sqrt{n})\),

(b) \(\lim _{n \rightarrow+\infty} \frac{1^{3}+2^{3}+\cdots+n^{3}}{n^{4}}\)

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