S:L15.231

S:L15.231 (Andrei Horvat-Marc)

Fie $\left(a_{n}\right)_{n\geq 1}$ un șir crescător de numere reale strict pozitive cu Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \lim\limits_{n\to \infty} a_n = a} . Arătați că

$$\lim \limits _{n\to \infty }{\dfrac {a-a_{n}}{\ln {\frac {a}{a_{n}}}}}=a$$

.