Límits de funcions a 1r de BAT --- Introducció ---

Aquest mòdul conté 10 exercicis sobre límits de funcions a 1r de BAT, a partir del gràfic de la funció. Tant límits a l'infinit com en un punt.

Límits laterals i continuïtat d'una funció en un punt

rangex rangey parallel ,,,,1,0,17, grey parallel ,,,,0,1,17, grey text black, 0.95,-0.2, medium, 1 text black, 0.2,1.2, medium, 1 text black, 4.95,-0.2, medium, 5 text black, 0.2,5.2, medium, 5 text black, -5.05,-0.2, medium, -5 text black, 0.2,-4.8, medium, -5 linewidth 2 line ,0,,0, red line 0,,0,, red linewidth 3 plot blue , linewidth 1 parallel -0.1,,0.1,,0,1,17, black parallel ,-0.1,,0.15,1,0,17, black fcircle ,,8, white ,,8, blue


Límits laterals i continuïtat d'una funció en un punt

rangex rangey parallel ,,,,1,0,17, grey parallel ,,,,0,1,17, grey text black, 0.95,-0.2, medium, 1 text black, 0.2,1.2, medium, 1 text black, 4.95,-0.2, medium, 5 text black, 0.2,5.2, medium, 5 text black, -5.05,-0.2, medium, -5 text black, 0.2,-4.8, medium, -5 linewidth 2 line ,0,,0, red line 0,,0,, red linewidth 3 plot blue, -16*t, plot blue, +16*t, linewidth 1 parallel -0.1,,0.1,,0,1,17, black parallel ,-0.1,,0.15,1,0,17, black fcircle ,,8, white fcircle ,,8, white circle ,,8, blue circle ,,8, blue


Límits laterals i continuïtat d'una funció en un punt

rangex rangey opacity 0,255 bgcolor white opacity 200,200 fontfamily Italic 18px Courier axis axisnumbering precision 0 grid 1,1,#ebedef,1,1,4,red zoom red precision 10 linewidth 3 plot blue, linewidth 3 dashtype 4,4 dline ,0,,10,green dline 0,,10,,green opacity 255,255


Límits laterals i continuïtat d'una funció en un punt

rangex rangey parallel ,,,,1,0,22, grey parallel ,,,,0,1,22, grey text black, 0.95,-0.2, medium, 1 text black, 0.2,1.2, medium, 1 text black, 4.95,-0.2, medium, 5 text black, 0.2,5.2, medium, 5 text black, -5.05,-0.2, medium, -5 text black, 0.2,-4.8, medium, -5 linewidth 2 line ,0,,0, red line 0,,0,, red linewidth 3 trange 0,1 plot blue, -16*t, trange 0,1 plot blue, +16*t, linewidth 2 dashtype 4,4 parallel -0.1,,0.1,,0,1,22, black parallel ,-0.1,,0.15,1,0,22, black dline ,-10,,10,green dline -10,,10,,green fcircle ,,8, white circle ,,8, blue


Límit d'una funció a l'infinit i asímptotes horitzontals

rangex rangey parallel ,,,,1,0,21, grey parallel ,,,,0,1,21, grey text black, 0.95,-0.2, medium, 1 text black, 0.2,1.2, medium, 1 text black, 4.95,-0.2, medium, 5 text black, 0.2,5.2, medium, 5 text black, -5.05,-0.2, medium, -5 text black, 0.2,-4.8, medium, -5 linewidth 2 line ,0,,0, red line 0,,0,, red linewidth 3 linewidth 1 parallel -0.1,,0.1,,0,1,21, black parallel ,-0.1,,0.15,1,0,21, black linewidth 2
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Límit d'una funció a l'infinit i asímptotes horitzontals

rangex rangey parallel ,,,,1,0,21, grey parallel ,,,,0,1,21, grey text black, 0.95,-0.2, medium, 1 text black, 0.2,1.2, medium, 1 text black, 4.95,-0.2, medium, 5 text black, 0.2,5.2, medium, 5 text black, -5.05,-0.2, medium, -5 text black, 0.2,-4.8, medium, -5 linewidth 2 line ,0,,0, red line 0,,0,, red linewidth 3 plot blue, linewidth 1 parallel -0.1,,0.1,,0,1,21, black parallel ,-0.1,,0.15,1,0,21, black
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Límit d'una funció a l'infinit i asímptotes horitzontals

rangex rangey parallel ,,,,1,0,21, grey parallel ,,,,0,1,21, grey text black, 0.95,-0.2, medium, 1 text black, 0.2,1.2, medium, 1 text black, 4.95,-0.2, medium, 5 text black, 0.2,5.2, medium, 5 text black, -5.05,-0.2, medium, -5 text black, 0.2,-4.8, medium, -5 linewidth 2 line ,0,,0, red line 0,,0,, red linewidth 3 plot blue, linewidth 1 parallel -0.1,,0.1,,0,1,21, black parallel ,-0.1,,0.15,1,0,21, black
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Límit d'una funció a l'infinit i asímptotes horitzontals

rangex rangey parallel ,,,,1,0,21, grey parallel ,,,,0,1,21, grey text black, 0.95,-0.2, medium, 1 text black, 0.2,1.2, medium, 1 text black, 4.95,-0.2, medium, 5 text black, 0.2,5.2, medium, 5 text black, -5.05,-0.2, medium, -5 text black, 0.2,-4.8, medium, -5 linewidth 2 line ,0,,0, red line 0,,0,, red linewidth 3 plot blue, linewidth 1 parallel -0.1,,0.1,,0,1,21, black parallel ,-0.1,,0.15,1,0,21, black
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Límit d'una funció en un punt a partir d'una taula de valors

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Límit d'una funció en un punt a partir d'una taula de valors

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