Question

lim (cand x tinde la e) lnx-1/x-e

Answer 1

   
[tex]\displaystyl \\ \lim \frac{\ln x-1}{x-e} ~~~~~(\texttt{Aplical l'Hospital}) \\ ^{x \to e} \\ \displaystyle \\ \lim \frac{ \frac{1}{x} -0}{1-0} = \boxed{\frac{1}{e} } \\ ^{x \to e} [/tex]