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Q12Section A (Section A)12 of 60

Limit with harmonic sum and exponential roots

lim⁡n→∞1+12+⋯+1n(πn+en)1/nlog⁡en\lim_{n\to\infty}\dfrac{1+\frac12+\cdots+\frac1n}{(\pi^n+e^n)^{1/n}\log_en} equals

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