S:L15.231: Difference between revisions
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'''S:L15.231 (Andrei Horvat-Marc)''' | '''S:L15.231 (Andrei Horvat-Marc)''' | ||
''Fie <math>\left(a_n\right)_{n\ge 1}</math> un șir crescător de numere reale strict pozitive cu <math>\lim\limits_{n\to \infty} a_n = a</math>. Arătați că <nowiki><math>\lim\limits_{n\to\infty} \dfrac{a-a_n}{\ln\frac{a}{a_n}} = a<math>.</nowiki>'' | |||
Revision as of 10:49, 7 January 2024
S:L15.231 (Andrei Horvat-Marc)
Fie 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 \left(a_n\right)_{n\ge 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 <math>\lim\limits_{n\to\infty} \dfrac{a-a_n}{\ln\frac{a}{a_n}} = a<math>.