Problem 1 [5 points]: Write the following limit as a definite integral. You may use the properties of logarithms to help with your algebra. Do not evaluate the integral. \left.\lim

_{n \rightarrow \infty} \frac{1}{n} \ln \left(1+\frac{1}{n}\right)^{3}\left(1+\frac{2}{n}\right)^{3} \cdots\left(1+\frac{n}{n}\right)^{3}\right)