Untitled (Sage)

taylor(1/sqrt(1-2*x),x,0,4) taylor(sqrt(1+sin(x)),x,0,3) taylor(ln(1+x)/(1+x),x,0,4) taylor(ln(cos(x)),x,0,4) taylor(sin(x)*sqrt(1+x),x,0,4) taylor(x*sin(x)-sin(x)^2,x,0,6).
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last edited on November 12, 2008 12:23 AM by admin

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Typeset taylor(1/sqrt(1-2*x),x,0,4) 1 + x + 3*x^2/2 + 5*x^3/2 + 35*x^4/8 taylor(sqrt(1+sin(x)),x,0,3) 1 + x/2 - x^2/8 - x^3/48 taylor(ln(1+x)/(1+x),x,0,4) x - 3*x^2/2 + 11*x^3/6 - 25*x^4/12 taylor(ln(cos(x)),x,0,4) -x^2/2 - x^4/12 taylor(sin(x)*sqrt(1+x),x,0,4) x + x^2/2 - 7*x^3/24 - x^4/48 taylor(x*sin(x)-sin(x)^2,x,0,6) x^4/6 - 13*x^6/360 taylor(x*sin(x)/(1-cos(x)),x,0,2) 2 - x^2/6 taylor(sin(2*x)/sin(3*x),x,0,2) 2/3 + 5*x^2/9

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