Taylor series for tan x about the point 0

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Write down the Taylor series for tan x about the point 0.
Also write down a precise remainder term Rn(x).
finding this much harder than the Taylor series for cos x, arctan x about the point 0.



stuck in this problem from our tutorial sheet of course MA105







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  • Did you see en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions
    – Nosrati
    Aug 12 at 4:27






  • 1




    What have you done so far ?
    – Ahmad Bazzi
    Aug 12 at 4:43










  • @Nosrati I want to find using taylor's theorem
    – MathsforSS
    Aug 12 at 4:44










  • @AhmadBazzi I can write for cos x , arctan x about point 0
    – MathsforSS
    Aug 12 at 4:46










  • How do you do it for $cos x$ for example ?
    – Ahmad Bazzi
    Aug 12 at 4:48














up vote
0
down vote

favorite












Write down the Taylor series for tan x about the point 0.
Also write down a precise remainder term Rn(x).
finding this much harder than the Taylor series for cos x, arctan x about the point 0.



stuck in this problem from our tutorial sheet of course MA105







share|cite|improve this question






















  • Did you see en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions
    – Nosrati
    Aug 12 at 4:27






  • 1




    What have you done so far ?
    – Ahmad Bazzi
    Aug 12 at 4:43










  • @Nosrati I want to find using taylor's theorem
    – MathsforSS
    Aug 12 at 4:44










  • @AhmadBazzi I can write for cos x , arctan x about point 0
    – MathsforSS
    Aug 12 at 4:46










  • How do you do it for $cos x$ for example ?
    – Ahmad Bazzi
    Aug 12 at 4:48












up vote
0
down vote

favorite









up vote
0
down vote

favorite











Write down the Taylor series for tan x about the point 0.
Also write down a precise remainder term Rn(x).
finding this much harder than the Taylor series for cos x, arctan x about the point 0.



stuck in this problem from our tutorial sheet of course MA105







share|cite|improve this question














Write down the Taylor series for tan x about the point 0.
Also write down a precise remainder term Rn(x).
finding this much harder than the Taylor series for cos x, arctan x about the point 0.



stuck in this problem from our tutorial sheet of course MA105









share|cite|improve this question













share|cite|improve this question




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edited Aug 12 at 4:19

























asked Aug 12 at 3:56









MathsforSS

427




427











  • Did you see en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions
    – Nosrati
    Aug 12 at 4:27






  • 1




    What have you done so far ?
    – Ahmad Bazzi
    Aug 12 at 4:43










  • @Nosrati I want to find using taylor's theorem
    – MathsforSS
    Aug 12 at 4:44










  • @AhmadBazzi I can write for cos x , arctan x about point 0
    – MathsforSS
    Aug 12 at 4:46










  • How do you do it for $cos x$ for example ?
    – Ahmad Bazzi
    Aug 12 at 4:48
















  • Did you see en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions
    – Nosrati
    Aug 12 at 4:27






  • 1




    What have you done so far ?
    – Ahmad Bazzi
    Aug 12 at 4:43










  • @Nosrati I want to find using taylor's theorem
    – MathsforSS
    Aug 12 at 4:44










  • @AhmadBazzi I can write for cos x , arctan x about point 0
    – MathsforSS
    Aug 12 at 4:46










  • How do you do it for $cos x$ for example ?
    – Ahmad Bazzi
    Aug 12 at 4:48















Did you see en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions
– Nosrati
Aug 12 at 4:27




Did you see en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions
– Nosrati
Aug 12 at 4:27




1




1




What have you done so far ?
– Ahmad Bazzi
Aug 12 at 4:43




What have you done so far ?
– Ahmad Bazzi
Aug 12 at 4:43












@Nosrati I want to find using taylor's theorem
– MathsforSS
Aug 12 at 4:44




@Nosrati I want to find using taylor's theorem
– MathsforSS
Aug 12 at 4:44












@AhmadBazzi I can write for cos x , arctan x about point 0
– MathsforSS
Aug 12 at 4:46




@AhmadBazzi I can write for cos x , arctan x about point 0
– MathsforSS
Aug 12 at 4:46












How do you do it for $cos x$ for example ?
– Ahmad Bazzi
Aug 12 at 4:48




How do you do it for $cos x$ for example ?
– Ahmad Bazzi
Aug 12 at 4:48










1 Answer
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You can use long division to divide the Maclaurin expansions of sin(x) over cos(x)



https://www.youtube.com/watch?v=ET3qjWs7g7w This guy explains it in 5mins






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    1 Answer
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    up vote
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    down vote













    You can use long division to divide the Maclaurin expansions of sin(x) over cos(x)



    https://www.youtube.com/watch?v=ET3qjWs7g7w This guy explains it in 5mins






    share|cite|improve this answer
























      up vote
      -1
      down vote













      You can use long division to divide the Maclaurin expansions of sin(x) over cos(x)



      https://www.youtube.com/watch?v=ET3qjWs7g7w This guy explains it in 5mins






      share|cite|improve this answer






















        up vote
        -1
        down vote










        up vote
        -1
        down vote









        You can use long division to divide the Maclaurin expansions of sin(x) over cos(x)



        https://www.youtube.com/watch?v=ET3qjWs7g7w This guy explains it in 5mins






        share|cite|improve this answer












        You can use long division to divide the Maclaurin expansions of sin(x) over cos(x)



        https://www.youtube.com/watch?v=ET3qjWs7g7w This guy explains it in 5mins







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Aug 12 at 4:37









        MAth

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