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find-U-n-0-e-nx-2-log-2-e-x-dx-n-1-determine-nature-of-U-n-and-nU-n-

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Question Number 142980 by mathmax by abdo last updated on 08/Jun/21
find U_n =∫_0 ^∞ e^(−nx^2 ) log(2+e^x )dx (n≥1) determine nature of Σ U_n and Σ nU_n
findUn=∫0∞e−nx2log(2+ex)dx(n⩾1)determinenatureofΣUnandΣnUn

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