Discussion
Put these steps of evaluating an indeterminate power in order. 1. Exponentiate the limit of the logarithm 2. Recognise the form as \( 1^{\infty} \), \( 0^{0} \) or \( \infty^{0} \) 3. Evaluate the resulting quotient, by L'Hopital if needed 4. Take logarithms to convert the power into a product, then a quotient
Answer: A
The form must be recognised before anything is done to it, since a determinate power needs no such treatment. Logarithms then turn the power into \( g \ln f \), a product that becomes a quotient. That quotient is evaluated, and only at the end is the exponential taken to recover the limit itself rather than its logarithm
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