use taylor series result to find value?

Hello, I think this is relatively simple but I can't figure it out. I am computing the taylor series of a function and simply want to evaluate that taylor series result at a specific value x. How can I do this automatically (without copy/pasting the result from the command window)? Thank you

%y = taylor(f,xx,0,1)

syms x
f=@(x) 25*x.^3-6*x.^2+7*x-88;
truevalue = f(3)
T0 = f 
T1 = taylor(f,x,1,'Order',1)
T2 = taylor(f,x,1,'Order',2)
T3 = taylor(f,x,1,'Order',3)

result = T3(3)
%T2result = @(x) 70*x - 132
%T2estimate = T2result(3)
%T3result = @(x) 70*x + 69*(x - 1)^2 - 132
%T3estimate = T3result(3)

The result part is what I'm trying to do...

Answer 1

[David Hill]

result=subs(T3,x,3);

[John D'Errico]

Or, you could use matlabFunction to create a function handle that will evaluate the function, converting the symbolic expression into one that will work as a simple function.

[MINATI]

how to apply the values f(0)=0;f'(0)=1;f"(0)=a;(syms a) in

taylor(f(x),x,'order',3) to find x+a*x^2/2;

Help please @

[e-mail]

Answer 2

[GURU PRASAD]

f = @(x) 25*x^3-6*x^2+7*x-88;

sample_at = 3;

trueval = f(sample_at);

syms xx;

fs = f(xx);

for n = 0:4

y = double( subs( taylor(fs, n, 1), xx, sample_at ) );

disp([n, y]);

%now calculate the relative error

end