This is pdfTeX, Version 3.14159265-2.6-1.40.16 (TeX Live 2015) (preloaded format=pdflatex 2015.8.21)  30 JAN 2017 08:53
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**ex_serie.tex
(./ex_serie.tex
LaTeX2e <2015/01/01>
Babel <3.9l> and hyphenation patterns for 79 languages loaded.
./ex_serie.tex:1: Undefined control sequence.
l.1 \chapter
            {Serie Numeriche}
? 

./ex_serie.tex:1: LaTeX Error: Missing \begin{document}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.1 \chapter{S
              erie Numeriche}
? 
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./ex_serie.tex:3: LaTeX Error: Missing \begin{document}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.3 \begin{enumerate}
                     
? 

Overfull \hbox (20.0pt too wide) in paragraph at lines 3--3
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./ex_serie.tex:10: Undefined control sequence.
l.10 concludere che la serie data \E
                                     convergente.
? 
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./ex_serie.tex:17: Undefined control sequence.
l.17 e quindi, siccome per ogni $a\in \R
                                        $ si ha
? 
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./ex_serie.tex:21: Undefined control sequence.
l.21 ...ge assolutamente per ogni fissato $a\in \R
                                                  $, e quindi
? 
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./ex_serie.tex:39: Undefined control sequence.
l.39 si avr\A
              convergenza assoluta per $|a|<e$, mentre non si avr\A convergenza

? 
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./ex_serie.tex:39: Undefined control sequence.
l.39 ... assoluta per $|a|<e$, mentre non si avr\A
                                                   convergenza
? 
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Overfull \hbox (21.39697pt too wide) in paragraph at lines 38--41
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Overfull \hbox (21.39697pt too wide) in paragraph at lines 38--41
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Overfull \hbox (30.5918pt too wide) in paragraph at lines 46--48
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Overfull \hbox (77.38461pt too wide) detected at line 50
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Overfull \hbox (90.61693pt too wide) detected at line 54
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Missing character: There is no s in font nullfont!
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Missing character: There is no e in font nullfont!
Missing character: There is no n in font nullfont!
Missing character: There is no e in font nullfont!
Missing character: There is no r in font nullfont!
Missing character: There is no a in font nullfont!
Missing character: There is no l in font nullfont!
Missing character: There is no e in font nullfont!
./ex_serie.tex:56: Undefined control sequence.
l.56 (nel caso $a=0$ il termine generale \E
                                            sempre pari a $1$).
? 
./ex_serie.tex:56: Emergency stop.
l.56 (nel caso $a=0$ il termine generale \E
                                            sempre pari a $1$).
End of file on the terminal!

 
Here is how much of TeX's memory you used:
 9 strings out of 493089
 175 string characters out of 6134842
 57199 words of memory out of 5000000
 3594 multiletter control sequences out of 15000+600000
 3640 words of font info for 14 fonts, out of 8000000 for 9000
 1141 hyphenation exceptions out of 8191
 17i,3n,12p,98b,109s stack positions out of 5000i,500n,10000p,200000b,80000s
./ex_serie.tex:56:  ==> Fatal error occurred, no output PDF file produced!