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I did the same problem on my white board with out looking at your answer and I received the same thing.
Your answer is entirely correct!
Your answer is entirely correct but you could have done it easier and shorter. (Using L' Hopital's Rule)
@sbhatnagar: You're right, but the problem is that for some reasons l'Hopital is used in cases where it's the only option and avoided in cases where you could solve the limit in a different way.
And, of course, here we do not know if Sparky has covered L'Hopital's rule or even differentiation yet in his class.
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