\[\Large\mathfrak{\color{red}{C}}=\lim_{x\to\infty}\left(\dfrac{\ln x}{\lfloor x\rfloor}\right)\]

If you think that \(\mathfrak{\color{red}{C}}\) does not exist or it is not finite submit 9.00, otherwise find: \[\Large \displaystyle\int_0^5 e^{\mathfrak{\color{red}{C}}x}~\mathrm{d}x\] and submit your answer to two decimal places.

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