An=(-1)^(n-1)[n]/(n^2 + 1) is the sequence convergent? if so, what's the limit.
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Originally Posted by twilightstr An=(-1)^(n-1)[n]/(n^2 + 1) is the sequence convergent? if so, what's the limit. $\displaystyle a_n = \frac{(-1)^{n-1}n}{n^2+1}$ look at the main part of the nth term ... as $\displaystyle n \to \infty$ , $\displaystyle \frac{n}{n^2+1} \to 0$
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