Can someone please help me in evaluating the following limit : Lim (n-> infinity) n^{sq.root(n)}/(n+1)^{sq.root(n+1). }Thanks in advance.
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It's pretty obvious, isn't it, that both numerator and denominator go to infinity- but the denominator goes to infinity faster. If you want to be more "technical", let treat n as a continuous variable and apply L'Hopital's rule.
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