Practice question · Multiple choice
The same limit can be attacked by factoring, by conjugates, by L'Hopital's rule or by a series expansion. Why do textbooks teach all four instead of the most general one?
Hints
- Try L'Hopital on a limit that is not or .
- Ask what each method REQUIRES before it may be applied.
Show the answer
B. Because the general methods have preconditions the others lack
Why
Generality is bought with preconditions. Applying L'Hopital to a determinate form gives a wrong answer confidently, which is why recognising the form comes before choosing the tool.
Practise Integrated single-variable calculus problems
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