Limit $lim _{n to infty}frac{-2^{n}+3^{n}}{{-2^{n+1}+3^{n+1}}}$ without L'Hospital [closed]












-1












$begingroup$


I am trying to solve this limit without L'Hospital but i just dont know what do to with exponents.



$$lim _{n to infty}frac{-2^{n}+3^{n}}{{-2^{n+1}+3^{n+1}}}$$



I just dont know what to do with this exponenets










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closed as off-topic by RRL, KReiser, Jyrki Lahtonen, Tianlalu, Saad Dec 24 '18 at 0:07


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, KReiser, Jyrki Lahtonen, Tianlalu, Saad

If this question can be reworded to fit the rules in the help center, please edit the question.





















    -1












    $begingroup$


    I am trying to solve this limit without L'Hospital but i just dont know what do to with exponents.



    $$lim _{n to infty}frac{-2^{n}+3^{n}}{{-2^{n+1}+3^{n+1}}}$$



    I just dont know what to do with this exponenets










    share|cite|improve this question











    $endgroup$



    closed as off-topic by RRL, KReiser, Jyrki Lahtonen, Tianlalu, Saad Dec 24 '18 at 0:07


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, KReiser, Jyrki Lahtonen, Tianlalu, Saad

    If this question can be reworded to fit the rules in the help center, please edit the question.



















      -1












      -1








      -1





      $begingroup$


      I am trying to solve this limit without L'Hospital but i just dont know what do to with exponents.



      $$lim _{n to infty}frac{-2^{n}+3^{n}}{{-2^{n+1}+3^{n+1}}}$$



      I just dont know what to do with this exponenets










      share|cite|improve this question











      $endgroup$




      I am trying to solve this limit without L'Hospital but i just dont know what do to with exponents.



      $$lim _{n to infty}frac{-2^{n}+3^{n}}{{-2^{n+1}+3^{n+1}}}$$



      I just dont know what to do with this exponenets







      limits-without-lhopital






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      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 23 '18 at 20:57









      Jyrki Lahtonen

      110k13171379




      110k13171379










      asked Dec 23 '18 at 17:52









      Juraj JakubovJuraj Jakubov

      45




      45




      closed as off-topic by RRL, KReiser, Jyrki Lahtonen, Tianlalu, Saad Dec 24 '18 at 0:07


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, KReiser, Jyrki Lahtonen, Tianlalu, Saad

      If this question can be reworded to fit the rules in the help center, please edit the question.







      closed as off-topic by RRL, KReiser, Jyrki Lahtonen, Tianlalu, Saad Dec 24 '18 at 0:07


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, KReiser, Jyrki Lahtonen, Tianlalu, Saad

      If this question can be reworded to fit the rules in the help center, please edit the question.






















          1 Answer
          1






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          2












          $begingroup$

          Hint: $displaystylefrac{-2^n+3^n}{-2^{n+1}+3^{n+1}}=frac{-left(frac23right)^n+1}{-2timesleft(frac23right)^n+3}$.






          share|cite|improve this answer









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          • $begingroup$
            Please can you explain it little more i just dont know how you make that right side.
            $endgroup$
            – Juraj Jakubov
            Dec 23 '18 at 18:04










          • $begingroup$
            I divided the numerator and the denominator by $3^n$.
            $endgroup$
            – José Carlos Santos
            Dec 23 '18 at 18:04










          • $begingroup$
            Ou nice thank you now i understand :)
            $endgroup$
            – Juraj Jakubov
            Dec 23 '18 at 18:05


















          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          2












          $begingroup$

          Hint: $displaystylefrac{-2^n+3^n}{-2^{n+1}+3^{n+1}}=frac{-left(frac23right)^n+1}{-2timesleft(frac23right)^n+3}$.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Please can you explain it little more i just dont know how you make that right side.
            $endgroup$
            – Juraj Jakubov
            Dec 23 '18 at 18:04










          • $begingroup$
            I divided the numerator and the denominator by $3^n$.
            $endgroup$
            – José Carlos Santos
            Dec 23 '18 at 18:04










          • $begingroup$
            Ou nice thank you now i understand :)
            $endgroup$
            – Juraj Jakubov
            Dec 23 '18 at 18:05
















          2












          $begingroup$

          Hint: $displaystylefrac{-2^n+3^n}{-2^{n+1}+3^{n+1}}=frac{-left(frac23right)^n+1}{-2timesleft(frac23right)^n+3}$.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Please can you explain it little more i just dont know how you make that right side.
            $endgroup$
            – Juraj Jakubov
            Dec 23 '18 at 18:04










          • $begingroup$
            I divided the numerator and the denominator by $3^n$.
            $endgroup$
            – José Carlos Santos
            Dec 23 '18 at 18:04










          • $begingroup$
            Ou nice thank you now i understand :)
            $endgroup$
            – Juraj Jakubov
            Dec 23 '18 at 18:05














          2












          2








          2





          $begingroup$

          Hint: $displaystylefrac{-2^n+3^n}{-2^{n+1}+3^{n+1}}=frac{-left(frac23right)^n+1}{-2timesleft(frac23right)^n+3}$.






          share|cite|improve this answer









          $endgroup$



          Hint: $displaystylefrac{-2^n+3^n}{-2^{n+1}+3^{n+1}}=frac{-left(frac23right)^n+1}{-2timesleft(frac23right)^n+3}$.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Dec 23 '18 at 17:55









          José Carlos SantosJosé Carlos Santos

          165k22132235




          165k22132235












          • $begingroup$
            Please can you explain it little more i just dont know how you make that right side.
            $endgroup$
            – Juraj Jakubov
            Dec 23 '18 at 18:04










          • $begingroup$
            I divided the numerator and the denominator by $3^n$.
            $endgroup$
            – José Carlos Santos
            Dec 23 '18 at 18:04










          • $begingroup$
            Ou nice thank you now i understand :)
            $endgroup$
            – Juraj Jakubov
            Dec 23 '18 at 18:05


















          • $begingroup$
            Please can you explain it little more i just dont know how you make that right side.
            $endgroup$
            – Juraj Jakubov
            Dec 23 '18 at 18:04










          • $begingroup$
            I divided the numerator and the denominator by $3^n$.
            $endgroup$
            – José Carlos Santos
            Dec 23 '18 at 18:04










          • $begingroup$
            Ou nice thank you now i understand :)
            $endgroup$
            – Juraj Jakubov
            Dec 23 '18 at 18:05
















          $begingroup$
          Please can you explain it little more i just dont know how you make that right side.
          $endgroup$
          – Juraj Jakubov
          Dec 23 '18 at 18:04




          $begingroup$
          Please can you explain it little more i just dont know how you make that right side.
          $endgroup$
          – Juraj Jakubov
          Dec 23 '18 at 18:04












          $begingroup$
          I divided the numerator and the denominator by $3^n$.
          $endgroup$
          – José Carlos Santos
          Dec 23 '18 at 18:04




          $begingroup$
          I divided the numerator and the denominator by $3^n$.
          $endgroup$
          – José Carlos Santos
          Dec 23 '18 at 18:04












          $begingroup$
          Ou nice thank you now i understand :)
          $endgroup$
          – Juraj Jakubov
          Dec 23 '18 at 18:05




          $begingroup$
          Ou nice thank you now i understand :)
          $endgroup$
          – Juraj Jakubov
          Dec 23 '18 at 18:05



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