limit ( n* ( a^(1/n)-1), n tends to infinity) Thx, mate!
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Originally Posted by szpengchao limit ( n* ( a^(1/n)-1), n tends to infinity) Substitute and this is fairly well known, the answer is for Substitute
Originally Posted by Krizalid and this is fairly well known, the answer is for Substitute Just in case you were wondering why it is natural log, let me show you using L'Hopital's Rule. When the limit ends up being in the form of OR , then take the derivative of the top over the derivative of the bottom: and take the limit...
Originally Posted by colby2152 Just in case you were wondering why it is natural log, let me show you using L'Hopital's Rule. The final substitution I left there provides a solution without L'Hôpital.
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