HP Prime: CAS taylor  Printable Version + HP Forums (https://archived.hpcalc.org/museumforum) + Forum: HP Museum Forums (https://archived.hpcalc.org/museumforum/forum1.html) + Forum: Old HP Forum Archives (https://archived.hpcalc.org/museumforum/forum2.html) + Thread: HP Prime: CAS taylor (/thread258367.html) 
HP Prime: CAS taylor  Alberto Candel  12102013 Hi,
In CAS, for example, if I input taylor(LN(1+x),x,3)the output is x (1/2)*x^2+(1/3)*x^3+x^4*order_size(x)as expected from the documentation. But taylor((x+x^2+2*x^3)/(1+2*xx^2+6*x^3), x,3)outputs xx^2+5*x^317*x^4+x^5*order_size(x)instead of xx^2+5*x^3+x^4*order_size(x)
Why the extra term?
Re: HP Prime: CAS taylor  parisse  12112013 The third parameter is the order used for series expansion, not necessarily the final order.
Re: HP Prime: CAS taylor  Alberto Candel  12112013 Thank you. So if I want to obtain the Taylor polynomial of degree n of a function f(x), what is the correct command to use? (I want the result to be a polynomial of degree less than or equal to n, and I do not want the extra "order_size" term)
Re: HP Prime: CAS taylor  parisse  12122013 rem(convert(series(expression,x=limit_point,order),polynom),x^(order+1)) should do that: convert(.,polynom) will remove the order_size remainder term, and rem will remove all monomials of degree>=order+1. You have no warranty to get the full Taylor expansion however, since the remainder term has been erased...
Re: HP Prime: CAS taylor  Alberto Candel  12132013 Thanks. But it looks that such command is not available in the HP prime. The example in page 157 of the "Symbolic algebra and Mathematics with Xcas" convert(series(sin(x),x=0,6),polynom)outputs "Error: Unmatch control word" Re: HP Prime: CAS taylor  Alberto Candel  12132013 But it looks like "truncate" is in Prime, and does more or less the same.
