Find the limit:
Answer & Explanation
Reduce to the limit for the exponential:
we conclude that the last limit also equals to 1.
The standard trick for dealing with forms is to take logs; it’s very useful if you don’t see anything slicker. Let
where the second step uses the continuity of the log function. This is an form, which you can easily convert to a form:
Once you know , recovering L is trivial; just remember to do it!
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