## University Calculus: Early Transcendentals (3rd Edition)

Consider $\lim\limits_{n \to \infty} a_n=\lim\limits_{n \to \infty} (1+\dfrac{1}{n})^n$ Now, take the integral test to find the convergence and divergence for the sequence. We know that $\lim\limits_{n \to \infty} (1+\dfrac{x}{n})^n=e^x$ for all the values of $x$. Now, $\lim\limits_{n \to \infty} (1+\dfrac{1}{n})^n=e^{1}=e \ne 0$ Hence, the given series is Divergent.