Limita unui sir integral 2

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Kunihiko Chikaya
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Limita unui sir integral 2

Post by Kunihiko Chikaya »

Fie \( I_n = \int_1^{1 + \frac {1}{n}}\{[(x + 1)\ln x + 1]e^{x(e^{x}\ln x + 1)} + n\}dx \ (n = 1,2,\cdots). \)

Calculati \( \lim_{n\to\infty}I_n^{n}. \)

Kunihiko Chikaya
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