Question 1

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Estudia la continuïtat de la funció f(x) definida a trossos:

begin mathsize 12px style bold f bold left parenthesis bold x bold right parenthesis bold space bold equals bold space open curly brackets table row cell begin bold style 4 times x minus 8 end style bold space bold si bold space bold x bold less than begin bold style negative 4 end style end cell row cell begin bold style 8 times x minus 8 end style bold space bold s bold i bold space bold x bold greater or equal than begin bold style negative 4 end style end cell end table close end style


Format de resposta per la discontinuïtat: 1 si és contínua, 2 per evitable, 3 per de salt finit, 4 per asimptòtica


a) La funció està definida en x = negative 4 (S/N)?
b) Calcula begin mathsize 12px style bold lim with bold x bold rightwards arrow begin bold style negative 4 end style to the power of bold minus below bold space bold f bold left parenthesis bold x bold right parenthesis bold thin space bold equals end style

c)  Calculabegin mathsize 12px style bold f bold left parenthesis begin bold style negative 4 end style bold right parenthesis end style 

d) La funció:  


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