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<p><span style="font-weight: bold; color: #009900;"><span style="color: #003300;">Estudia la continuïtat de la funció f(x) definida a trossos:</span><br /></span></p> <div style="text-align: center;"><span style="font-weight: bold; color: #009900;"> <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨»f«/mi»«mo mathvariant=¨bold¨»(«/mo»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»)«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mfenced open=¨{¨ close=¨¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»g_«/mi»«mn mathvariant=¨bold¨»1«/mn»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold¨»si«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»§lt;«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»a«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi mathvariant=¨bold¨»#g_2«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold¨»s«/mi»«mi mathvariant=¨bold¨»i«/mi»«mo mathvariant=¨bold¨»§#160;«/mo»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»§#8805;«/mo»«mi mathvariant=¨bold¨»#a«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»</span></span></div> <p><span style="font-weight: bold; color: #009900;"><br /></span><span style="color: #ff6600;"><strong><span style="font-weight: bold;">Format de resposta per la discontinuïtat</span></strong>:</span> 1 si és contínua, 2 per evitable, 3 per de salt finit, 4 per asimptòtica</p> <p><span style="color: #003300;"><strong><br />a) La funció està definida en x = #a (S/N)?<br />b) Calcula «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«munder mathcolor=¨#003300¨»«mi mathvariant=¨bold¨»lim«/mi»«mrow»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»§#8594;«/mo»«mo mathvariant=¨bold¨»#«/mo»«msup»«mi mathvariant=¨bold¨»a«/mi»«mo mathvariant=¨bold¨»-«/mo»«/msup»«/mrow»«/munder»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»f«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»(«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»x«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»)«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«/mrow»«/mstyle»«/math»<br /></strong></span></p> <p><span style="color: #003300;"><strong>c) Calcula«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»f«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»(«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»a«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»)«/mo»«/mstyle»«/math» </strong></span><br /><span style="color: #003300;"><strong><br />d) La funció: <br /><br /><br /></strong></span></p>
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Answer 1
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None
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90%
83.33333%
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66.66667%
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33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
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5%
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Answer 2
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
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100%
50%
33.33333%
25%
20%
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0%
Hint 1
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<p><span style="font-weight: bold; color: #000080;">Calculo el límit de #g_1 quan x tendeix a #a<sup>-</sup> ja que, en #a<sup>+</sup>, f(x) = #g_2 que té imatge en #a.</span><br /><span style="font-weight: bold; color: #000080;">Calculo f(#a) amb la funció #g_2 que és contínua en [#a,+oo] ja que és polinòmica.</span><br /><span style="font-weight: bold; color: #000080;">Si el límit i la imatge són iguals, i com que la funció està definida en #a, la funció és contínua en #a.</span><br /><span style="font-weight: bold; color: #000080;">Si són diferents, la funció presenta una discon<span class="nolink">tinuït</span>at de salt finit. </span></p>
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Thursday, 23 August 2018, 4:19 PM
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