Discussion
L'Hopital's rule may be applied directly to \( \lim_{x \to a} f(x)/g(x) \) when the quotient takes the form
Answer: D
The rule replaces the quotient by \( f'/g' \) and requires the original to be \( 0/0 \) or \( \infty/\infty \). The other indeterminate forms must first be rearranged into one of those two, a product by inverting one factor and a power by taking logarithms. Applying it to a determinate quotient gives a wrong answer
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