Límits de successions/Potències
1^infinit.
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«munder»«mi»lim«/mi»«mrow»«mi»n«/mi»«mo»§#8594;«/mo»«mo»§#8734;«/mo»«/mrow»«/munder»«msup»«mfenced»«mrow»«mo»#«/mo»«mi»b«/mi»«mi»a«/mi»«mi»s«/mi»«/mrow»«/mfenced»«mrow»«mo»#«/mo»«mi»e«/mi»«mi»x«/mi»«mi»p«/mi»«mi»o«/mi»«/mrow»«/msup»«/math»]]>
1.0000000
0.3333333
0
0
#sol
<question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>^</mo><mi>infinit</mi></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>polisfa</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">begin</csymbol><mtable><mtr><mtd><mi>a</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mo> </mo><mi>aleatori</mi><mo>(</mo><mo>(</mo><mo>-</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>3</mn><mo>)</mo><mo>/</mo><mo>{</mo><mn>0</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a0</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>=</mo><mi>a</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">for</csymbol><mrow><mi>i</mi><mo> </mo><mi>en</mi><mo> </mo><mn>1</mn><mo>.</mo><mo>.</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo> </mo><mo>+</mo><mo>=</mo><mi>a0</mi><mo>(</mo><mo>)</mo><mo>*</mo><mi>n</mi><mo>^</mo><mi>i</mi></mrow></apply></mtd></mtr><mtr><mtd><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>+</mo><mo>=</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>}</mo><mo>)</mo><mo>*</mo><mi>n</mi><mo>^</mo><mi>x</mi></mtd></mtr><mtr><mtd><mi>tornar</mi><mo> </mo><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>polisfap</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">begin</csymbol><mtable><mtr><mtd><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>=</mo><mi>polisfa</mi><mo>(</mo><mi>x</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>=</mo><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>*</mo><mi>signe</mi><mo>(</mo><mi>coeficient</mi><mo>(</mo><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>,</mo><mi>grau</mi><mo>(</mo><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>)</mo><mo>)</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>tornar</mi><mo> </mo><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mrow><mi>e</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>polisfa</mi><mo>(</mo><mn>3</mn><mo>)</mo></mrow><mrow><mi>polisfa</mi><mo>(</mo><mn>2</mn><mo>)</mo></mrow></mfrac></mrow><mrow><munder><mo>lim</mo><mrow><mi>n</mi><mo>→</mo><cn>+∞</cn></mrow></munder><mi>e</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>polisfap</mi><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mrow><mi>polisfap</mi><mo>(</mo><mn>2</mn><mo>)</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pro</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>=</mo><mi>b</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>^</mo><mi>e</mi><mo>(</mo><mi>n</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>bas</mi><mo>=</mo><mi>b</mi><mo>(</mo><mi>n</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>expo</mi><mo>=</mo><mi>e</mi><mo>(</mo><mi>n</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><munder><mo>lim</mo><mrow><mi>n</mi><mo>→</mo><cn>+∞</cn></mrow></munder><mi>pro</mi><mo>(</mo><mi>n</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="check_expanded"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>