9000064010

Find the limit of the following sequence. $${\left({(\frac{2n+1}{n})}^n\right)}_{n=1}^{\mathrm{\infty }}$$ Hint: The limit of the sequence ${({(1+\frac{1}{n})}^n)}_{n=1}^{\mathrm{\infty }}$ is the Euler number $\mathrm{e}$.