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<p><span style="font-weight: bold; color: #009900;"><span style="color: #003300;">Estudieu 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¨»«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»«mfenced mathcolor=¨#003300¨ 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-italic¨»a«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»g_«/mi»«mn mathvariant=¨bold¨»2«/mn»«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»«/mstyle»«/math»</span></span></div> <p><span style="font-weight: bold; color: #009900;"><br /></span><span style="font-weight: bold; color: #009900;"><br /><span style="color: #003300;">La funció està definida en x = #a? {1:MULTICHOICE: ~NO ~=SI}</span><br /></span><span style="color: #003300;"><span style="font-weight: bold;">«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»</span></span> {1:SHORTANSWER: ~=#l_1}</p> <p><span style="color: #003300;"><span style="color: #003300;"> «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»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«/mrow»«/mstyle»«/math» {1:SHORTANSWER: ~=#i_1}</span></span><br /><span style="color: #003300;"><br /><strong>La discontinuïtat de la funció </strong></span><span style="color: #003300;"><span style="color: #003300;">{1:MULTICHOICE: ~#r_2~#r_3~#r_4 ~=#r_1}</span><br /><br /><br /></span></p>
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