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El número de asíntotas horizontales que tiene la función <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»#f«/mi»«mi»#g«/mi»«/mfrac»«/math»</span></span></span></span> es:
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Choice 1
Answer
#aleat1
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Choice 2
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#ok
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#aleat2
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Choice 5
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Choice 6
Answer
Grade
None
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83.33333%
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66.66667%
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Feedback
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<p align="justify">1.- Calcula el límite cuando <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»§#8594;«/mo»«mo»§#8734;«/mo»«/math»</span>de la función. </p> <p align="justify">2.- Si el límite es un número real k, entonces y=k es asíntota horizontal. En otro caso, no hay asíntota horizontal.</p> <p align="justify">OBSERVACION: puesto que la función es un cociente de polinomios, si hay asíntota cuando <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»§#8594;«/mo»«mo»§#8734;«/mo»«/math»</span> la hay también cuando <span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»§#8594;«/mo»«mo»-«/mo»«mo»§#8734;«/mo»«/math»</span></span>, y recíprocamente. Por lo tanto basta estudiar lo que sucede cuando <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»§#8594;«/mo»«mo»§#8734;«/mo»«/math»</span>. En funciones más generales es necesario estudiar por separado ambos casos.</p>
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Created
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Monday, 15 July 2013, 9:13 AM
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Monday, 15 July 2013, 9:13 AM
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