Which of the following limit forms are classified as indeterminate forms eligible for evaluation via L'Hospital's rule (directly or after logarithmic/algebraic transformation)?
Options:
(A) $\frac{0}{0}$
(B) $\frac{\infty}{\infty}$
(C) $0 \times \infty$
(D) $1^\infty$
Answer Key:
A, B, C, D
Step-by-Step Solution & Explanation
All four are classical indeterminate forms. $\frac{0}{0}$ and $\frac{\infty}{\infty}$ apply directly; products and exponential forms $0 \times \infty, 1^\infty, \infty - \infty, 0^0, \infty^0$ convert via algebra or logarithms.