Lim x- e log e x-1 x-1

lim_x → elog_ex 1x 1 Using L hospital rule. =lim_x → e1x =1e ...

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Indeterminate Forms

lim x→ e log ...

Question

${lim}_{x \to e} \frac{{log}_{e} x - 1}{x - 1}$

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Similar questions

{lim}_{x \to 1} \frac{x^{2} + x {log}_{e} x - {log}_{e} x - 1}{(x^{2} - 1)}

lim x \to 1 {(1 + {log}_{e} x)}^{1 / 1 - x}

e

y = \tan^{- 1} \{\frac{\log_{e} (e / x^{2})}{\log_{e} (e x^{2})}\} + \tan^{- 1} (\frac{3 + 2 \log_{e} x}{1 - 6 \log_{e} x})

\frac{d^{2} y}{d x^{2}} =

y = {log}_{e} (x + e), x = {log}_{e} (\frac{1}{y})

x - a x i s

\frac{1}{1 + {(\log_{e} x)}^{2}}

\frac{\tan^{- 1} (\log_{e} x)}{x} + C

\tan^{- 1} (\log_{e} x) + C

\frac{\tan^{- 1} x}{x} + C

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