Evaluate the following limit using L'Hospital's Rule:

\lim_{x \to 1} \frac{x^{11} - 1}{x^4 - 1}

A) \lim_{x \to 1} \frac{11x^{10}}{4x3}
B) \lim_{x \to 1} \frac{11x^{10} - 4}{4x3}
C) \lim_{x \to 1} \frac{11x^{10} - 1}{4x3 - 1}
D) \lim_{x \to 1} \frac{11x^{10} - 1}{4x3}