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Question Number 142531 by mnjuly1970 last updated on 01/Jun/21

$$$$$$if\mathit{\varphi }\left(q\right):={\int }_1^{\mathrm{\infty }}\frac{1}{\sqrt{x}{(q+x)}^x}dx$$$$then::lim{}_{q\to 1}\mathit{\varphi }\left(q\right):=?$$$$$$

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