series de taylor
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Publicado: 28 de abril de 2013
Series de taylor
%aproximaciones mediante la serie de taylor a la funcion= Y=e^x.
fplot('exp(x)',[0 10 0 5],'b')
hold on
fplot('1',[0 10 0 5],'r')
fplot('1+x',[0 10 0 5],'m')fplot('1+x+x^2/factorial(2)',[0 10 0 5],'g')
fplot('1+x+x^2/factorial(2)+x^3/factorial(3)',[0 10 0 5],'r')
fplot('1+x+x^2/factorial(2)+x^3/factorial(3)+x^4/factorial(4)',[0 10 0 5],'b')
%aproximacionesmediante la serie de taylor a la funcion= Y=ln(x).
fplot('log(x)',[1 10 1 5],'g')
hold on
fplot('x-1',[1 10 1 5],'y')
fplot('(x-1)-(x-1)^2/factorial(2)',[1 10 1 5],'b')fplot('(x-1)-(x-1)^2/factorial(2)+2*(x-1)^3/factorial(3)',[1 10 1 5],'m')
fplot('(x-1)-(x-1)^2/factorial(2)+2*(x-1)^3/factorial(3)-6*(x-1)^4/factorial(4)',[1 10 1 5],'p')
%aproximaciones mediante la serie detaylor a la funcion Y=senx.
fplot('sin(x)',[0 10 -5 5],'b')
hold on
fplot('x',[0 10 -5 5],'g')
fplot('x-x^3/factorial(3)',[0 10 -5 5],'r')
fplot('x-x^3/factorial(3)+x^5/factorial(5)',[0 10 -55],'k')
fplot('x-x^3/factorial(3)+x^5/factorial(5)-x^7/factorial(7)',[0 10 -5 5],'b')
%aproximaciones mediante la serie de taylor a la funcion= Y=cosx.
fplot('cos(x)',[0 10 -5 5],'g')
holdon
fplot('1',[0 10 -5 5],'y')
fplot('1-x^2/factorial(2)',[0 10 -5 5],'b')
fplot('1-x^2/factorial(2)+x^4/factorial(4)',[0 10 -5 5],'y')fplot('1-x^2/factorial(2)+x^4/factorial(4)-x^6/factorial(6)',[0 10 -5 5],'r')
Series de taylor
%aproximaciones mediante la serie de taylor a la funcion= Y=e^x.
fplot('exp(x)',[0 10 0 5],'b')
hold on
fplot('1',[0 10 0 5],'r')
fplot('1+x',[0 10 05],'m')
fplot('1+x+x^2/factorial(2)',[0 10 0 5],'g')
fplot('1+x+x^2/factorial(2)+x^3/factorial(3)',[0 10 0 5],'r')
fplot('1+x+x^2/factorial(2)+x^3/factorial(3)+x^4/factorial(4)',[0 10 0 5],'b')%aproximaciones mediante la serie de taylor a la funcion= Y=ln(x).
fplot('log(x)',[1 10 1 5],'g')
hold on
fplot('x-1',[1 10 1 5],'y')
fplot('(x-1)-(x-1)^2/factorial(2)',[1 10 1 5],'b')...
%aproximaciones mediante la serie de taylor a la funcion= Y=e^x.
fplot('exp(x)',[0 10 0 5],'b')
hold on
fplot('1',[0 10 0 5],'r')
fplot('1+x',[0 10 0 5],'m')fplot('1+x+x^2/factorial(2)',[0 10 0 5],'g')
fplot('1+x+x^2/factorial(2)+x^3/factorial(3)',[0 10 0 5],'r')
fplot('1+x+x^2/factorial(2)+x^3/factorial(3)+x^4/factorial(4)',[0 10 0 5],'b')
%aproximacionesmediante la serie de taylor a la funcion= Y=ln(x).
fplot('log(x)',[1 10 1 5],'g')
hold on
fplot('x-1',[1 10 1 5],'y')
fplot('(x-1)-(x-1)^2/factorial(2)',[1 10 1 5],'b')fplot('(x-1)-(x-1)^2/factorial(2)+2*(x-1)^3/factorial(3)',[1 10 1 5],'m')
fplot('(x-1)-(x-1)^2/factorial(2)+2*(x-1)^3/factorial(3)-6*(x-1)^4/factorial(4)',[1 10 1 5],'p')
%aproximaciones mediante la serie detaylor a la funcion Y=senx.
fplot('sin(x)',[0 10 -5 5],'b')
hold on
fplot('x',[0 10 -5 5],'g')
fplot('x-x^3/factorial(3)',[0 10 -5 5],'r')
fplot('x-x^3/factorial(3)+x^5/factorial(5)',[0 10 -55],'k')
fplot('x-x^3/factorial(3)+x^5/factorial(5)-x^7/factorial(7)',[0 10 -5 5],'b')
%aproximaciones mediante la serie de taylor a la funcion= Y=cosx.
fplot('cos(x)',[0 10 -5 5],'g')
holdon
fplot('1',[0 10 -5 5],'y')
fplot('1-x^2/factorial(2)',[0 10 -5 5],'b')
fplot('1-x^2/factorial(2)+x^4/factorial(4)',[0 10 -5 5],'y')fplot('1-x^2/factorial(2)+x^4/factorial(4)-x^6/factorial(6)',[0 10 -5 5],'r')
Series de taylor
%aproximaciones mediante la serie de taylor a la funcion= Y=e^x.
fplot('exp(x)',[0 10 0 5],'b')
hold on
fplot('1',[0 10 0 5],'r')
fplot('1+x',[0 10 05],'m')
fplot('1+x+x^2/factorial(2)',[0 10 0 5],'g')
fplot('1+x+x^2/factorial(2)+x^3/factorial(3)',[0 10 0 5],'r')
fplot('1+x+x^2/factorial(2)+x^3/factorial(3)+x^4/factorial(4)',[0 10 0 5],'b')%aproximaciones mediante la serie de taylor a la funcion= Y=ln(x).
fplot('log(x)',[1 10 1 5],'g')
hold on
fplot('x-1',[1 10 1 5],'y')
fplot('(x-1)-(x-1)^2/factorial(2)',[1 10 1 5],'b')...
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