Computing limits with Asymptotics (Book suggestion)

Is there a standard book or reference to learn techniques of computing limits similar to the answer of this problem:

How does one easily compute the limit of $a_n=(n\cdot \ln(\frac{n+1}{n}))^n$?

I've seen people use asymptotics frequently but I'd really like a reference to become more comfortable with the technique.

Thanks!

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