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<p><span style="font-weight: bold; color: #009900;" data-mce-mark="1"><span style="color: #003300;">Estudieu la continuïtat de la funció</span> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«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¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«/mrow»«mfrac mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»n«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»d«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«/mstyle»«/math»<br /><br /></span><span style="font-weight: bold; color: #ff6600;" data-mce-mark="1"><span style="font-weight: bold;" data-mce-mark="1">Format de la resposta:</span></span><span style="font-weight: bold; color: #009900;" data-mce-mark="1"> <br /></span><span data-mce-mark="1"><span data-mce-mark="1">els infinits s'escriuen i, -i</span></span><span style="font-weight: bold; color: #009900;" data-mce-mark="1"><br /></span></p> <p><span style="color: #003300;"><span style="font-weight: bold;">La funció està definida en x = #a (SI/NO)? </span></span>{1:SA: ~=NO}<span style="color: #003300;"><span style="font-weight: bold;"><br />El límit de la funció quan x tendeix a #a<sup>-</sup> és </span></span>{1:SA: ~=#j_1}<br /><span style="color: #003300;"><span style="font-weight: bold;">El límit de la funció quan x tendeix a #a<sup>+</sup> és </span></span>{1:SA: ~=#j_2}<br /><br /><span style="font-weight: bold; color: #009900;"><br /><span style="color: #003300;">La discontinuïtat de la funció és</span> </span>{1:SA: ~=#r_2}<span style="font-weight: bold; color: #009900;"> <span style="color: #ff6600;">Escriu:</span> </span>1 per evitable, 2 per inexistent, 3 per de salt finit, 4 per asimptòtica, <span style="font-weight: bold; color: #009900;"><span style="color: #ff6600;">segons el cas.</span><br /><br /><br /></span></p>
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<div style="text-align: justify;"><span style="font-weight: bold; color: #000080;">La funció no està definida en #a;</span></div> <div style="text-align: justify;"><span style="font-weight: bold; color: #000080;">els límits en #a són del tipus 0/0 i simplifiquem.</span></div> <div style="text-align: justify;"> </div> <div style="text-align: justify;"><span style="font-weight: bold; color: #000080;">La fracció simplificada és «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»2«/mn»«/mstyle»«/math» però </span></div> <div style="text-align: justify; margin-left: 30px;"><span style="font-weight: bold; color: #000080;">el límit quan x tendeix a «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«msup mathcolor=¨#00007F¨»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»a«/mi»«mo mathvariant=¨bold¨»-«/mo»«/msup»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«/mrow»«/mstyle»«/math» és «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»l_«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#00007F¨»1«/mn»«/mrow»«/mstyle»«/math»</span></div> <div style="text-align: justify; margin-left: 30px;"><span style="font-weight: bold; color: #000080;">el límit quan x tendeix a «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«msup mathcolor=¨#00007F¨»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»a«/mi»«mo mathvariant=¨bold¨»+«/mo»«/msup»«/mrow»«/mstyle»«/math» és «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»l_«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#00007F¨»2«/mn»«/mrow»«/mstyle»«/math»</span></div> <div style="text-align: justify;"><span style="font-weight: bold; color: #000080;">La discontinuïtat és asimptòtica.</span></div>
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Thursday, 23 August 2018, 4:18 PM
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