Find the indicated limit. Note that l'Hôpital's rule does not apply to every problem, and some problems will require more than one application of l'Hôpital's rule. Use -∞o or ∞o when appropriate. 3e-x lim x→∞ In (1+7e-x) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3e-x lim OA. x In (1+7e-x) (Type an exact answer in simplified form.) O B. The limit does not exist. C

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