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**[SOLVED] About l'hopital rule**

I have two solutions for a question about limit

http://tinyurl.com/2pknkb

May I know is (a) correct, or (b)?

What is the reason for the other to be wrong?

Note:

(a) just directly applies l'hopital rule to numerator

(b) is to reduce the numerator using logarithm formula before using l'hopital rule