Taylor series (function) [closed]












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Please help me develop this function $f(x)= frac{arccos(x)}{sin(x)+cos(x)}$ near $0$, order $o(x^4)$. I started expanding it with derivatives, but the second one is really long and i stopped.










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closed as off-topic by Namaste, Xander Henderson, mrtaurho, Holo, user91500 Jan 15 at 6:39


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


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    -1












    $begingroup$


    Please help me develop this function $f(x)= frac{arccos(x)}{sin(x)+cos(x)}$ near $0$, order $o(x^4)$. I started expanding it with derivatives, but the second one is really long and i stopped.










    share|cite|improve this question











    $endgroup$



    closed as off-topic by Namaste, Xander Henderson, mrtaurho, Holo, user91500 Jan 15 at 6:39


    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." – Namaste, Xander Henderson, mrtaurho, Holo, user91500

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



















      -1












      -1








      -1





      $begingroup$


      Please help me develop this function $f(x)= frac{arccos(x)}{sin(x)+cos(x)}$ near $0$, order $o(x^4)$. I started expanding it with derivatives, but the second one is really long and i stopped.










      share|cite|improve this question











      $endgroup$




      Please help me develop this function $f(x)= frac{arccos(x)}{sin(x)+cos(x)}$ near $0$, order $o(x^4)$. I started expanding it with derivatives, but the second one is really long and i stopped.







      taylor-expansion






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      edited Jan 13 at 20:03









      user

      6,62511031




      6,62511031










      asked Jan 13 at 18:04









      DontorDontor

      11




      11




      closed as off-topic by Namaste, Xander Henderson, mrtaurho, Holo, user91500 Jan 15 at 6:39


      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." – Namaste, Xander Henderson, mrtaurho, Holo, user91500

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







      closed as off-topic by Namaste, Xander Henderson, mrtaurho, Holo, user91500 Jan 15 at 6:39


      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." – Namaste, Xander Henderson, mrtaurho, Holo, user91500

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






















          1 Answer
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          Hint: Solve the equation$$fracpi2-x-frac{x^3}6=left(1+x-frac{x^2}2-frac{x^3}6+frac{x^4}{24}right)left(a_0+a_1x+a_2x^2+a_3x^3+a_4x^4right).$$






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            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            2












            $begingroup$

            Hint: Solve the equation$$fracpi2-x-frac{x^3}6=left(1+x-frac{x^2}2-frac{x^3}6+frac{x^4}{24}right)left(a_0+a_1x+a_2x^2+a_3x^3+a_4x^4right).$$






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              2












              $begingroup$

              Hint: Solve the equation$$fracpi2-x-frac{x^3}6=left(1+x-frac{x^2}2-frac{x^3}6+frac{x^4}{24}right)left(a_0+a_1x+a_2x^2+a_3x^3+a_4x^4right).$$






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                2












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                2





                $begingroup$

                Hint: Solve the equation$$fracpi2-x-frac{x^3}6=left(1+x-frac{x^2}2-frac{x^3}6+frac{x^4}{24}right)left(a_0+a_1x+a_2x^2+a_3x^3+a_4x^4right).$$






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                $endgroup$



                Hint: Solve the equation$$fracpi2-x-frac{x^3}6=left(1+x-frac{x^2}2-frac{x^3}6+frac{x^4}{24}right)left(a_0+a_1x+a_2x^2+a_3x^3+a_4x^4right).$$







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                answered Jan 13 at 18:12









                José Carlos SantosJosé Carlos Santos

                175k24134243




                175k24134243















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