Answer
converges to $e^7$
Work Step by Step
As we know that $\lim\limits_{n \to \infty} (1+\dfrac{x}{n})^{n}=e^x$ when $x \gt 0$
Let $\lim\limits_{n \to \infty} a_n= \lim\limits_{n \to \infty} (1+\dfrac{7}{n})^{n}$
This implies that $\lim\limits_{n \to \infty} a_n= \lim\limits_{n \to \infty} (1+\dfrac{7}{n})^{n} \implies a_n=e^7$
Thus, $\lim\limits_{n \to \infty} a_n=e^7 $ and {$a_n$} converges to $e^7$.
