AHSME 1950 Problem 40

The limit of $\frac {x^2-1}{x-1}$ as $x$ approaches $1$ as a limit is: $\textbf{(A)}\ 0 \textbf{(B)}\ \text{Indeterminate} \textbf{(C)}\ x-1 \textbf{(D)}\ 2 \textbf{(E)}\ 1$