Hi all, I need help to show that the following sequence converges: n^n/ ((n + 3)^ (n + 1)) I can't seem to find any standard limits which can help prove that it is convergent. Thanks in advance, ArTiCk
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Originally Posted by ArTiCK Hi all, I need help to show that the following sequence converges: n^n/ ((n + 3)^ (n + 1)) I can't seem to find any standard limits which can help prove that it is convergent. Thanks in advance, ArTiCk $\displaystyle \frac{n^n}{(n+3)^{n+1}} = \frac{n^n}{(n+3)^n (n+3)} = \left(\frac{n}{n+3}\right)^n \cdot \frac{1}{n+3} $ now consider the limit as $\displaystyle n \to \infty$
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