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Let’s try to solve it. The inner limit can be written as

The limit in the exponent can be taken using the l’Hostpital rule

The in the sense of the limit the denominator can be replaced by . In the same sense we can put any in the numerator. Any expression of the form as , thus

The rest is straightforward and one immediately sees that the limit is fact

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## About goobypl5

pizza baker, autodidact, particle physicist