[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 120: include(/home/a009199/public_html/Forum/Studenti/latexrender/phpbb_hook_2.php): failed to open stream: No such file or directory [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 120: include(): Failed opening '/home/a009199/public_html/Forum/Studenti/latexrender/phpbb_hook_2.php' for inclusion (include_path='.:/usr/share/php') [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 495: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 495: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 495: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 495: 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[ROOT]/includes/functions.php on line 5284: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3903) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 5284: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3903) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 5284: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3903) serie di potenze -Forum Studenti
Forum Studenti
Sito dedicato agli studenti dei corsi tenuti da Massimo Gobbino and friends (qualunque corso può essere aggiunto)
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Gradirei che qualcuno mi desse delle dritte per risolvere le serie di potenze(pag. 60)...ho guardato 1 pò la teoria ma nn mi riesce risolvere
la serie che va da n=4 fino a inf di x^(n+1) ...sarà pur banale per molti però nn mi riesce ...quindi spero di ricevere qlk risposta GRAZIEEEEE
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allora prima di tutto si trova il raggio di convergenza(che è 1) e quindi la serie converge per |x|<1.
poi si cerco di sviluppare la serie e viene una cosa del tipo x^5+x^6+x^7+....=x^5(1+x+x^2+.....)
ora sò che (1+x+x^2+.....+x^n)=(1-x^n)/(1-x)
ora faccio il lim n->+00 (1-x^n)/(1-x) ed essendo |x|<1
viene 1/(1-x)
ora sostituendo a quella in cima trovo che x^5+x^6+x^7+......=x^5/(1-x)
poi, qui perkè parti da n=4?????
x^5+x^6+x^7+....=x^5(1+x+x^2+.....) ..GRAZIE..perkè se nn capisco qst nn rieco a fare tutte le sommme tipo
qui :
2^n x(n-1), mi viene R=1\2 ...poi??
n x^(n-1),mi viene R=1 ...poi??
n x^(n),mi viene R=1 ...poi??
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