Discussion
Just one of these four is a legitimate use of L'Hopital's rule. Which?
Answer: B
Repeated application is standard and often necessary, as in \( (1-\cos x)/x^{2} \). The rule needs an indeterminate form, so a determinate quotient is out; it replaces \( f/g \) by \( f'/g' \), not by the derivative of the quotient; and if only the numerator vanishes the limit is simply zero
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