\textbf{114-} The sequence $\left\{\left(1+\dfrac{1}{n^2}\right)^n\right\}$ converges to which number? \medskip (1) $\sqrt{e}$ \hfill (2) $\dfrac{1}{2}e$ \hfill (3) $1$ \hfill (4) $\dfrac{1}{e}$ \bigskip