iran-konkur 2018 Q114

iran-konkur · Other · konkur-riazi_1397_specialized Sequences and series, recurrence and convergence Multiple-choice on sequence properties
114- The sequence $\left\{\left(1+\dfrac{1}{n^2}\right)^n\right\}$ converges to which number?
(1) $\sqrt{e}$ (2) $\dfrac{1}{2}e$ (3) $1$ (4) $\dfrac{1}{e}$
\textbf{114-} The sequence $\left\{\left(1+\dfrac{1}{n^2}\right)^n\right\}$ converges to which number?

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(1) $\sqrt{e}$ \hfill (2) $\dfrac{1}{2}e$ \hfill (3) $1$ \hfill (4) $\dfrac{1}{e}$

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