Taylor series plotting with an exp function

im tying to do this assignment

i think my way is wrong

syms x

t=linspace(-pi,pi,100)

fx=exp(t.^2/2)+exp(t).*cos(t)

plot(t,fx)

hold on

t4=taylor(fx,x,0,'order',5)

t7=taylor(fx,x,0,'order',8)

t10=taylor(fx,x,0,'order',11)

fplot(t4)

hold on

fplot(t8)

hold on

fplot(t10)

Answer 1

[Sam Chak]

Hi @Faisal Al-Wazir, Like this acceptable?

syms x
f = exp(x^2/2) + exp(x)*cos(x);
T4 = taylor(f, x, 'Order', 4);
T7 = taylor(f, x, 'Order', 7);
T8 = taylor(f, x, 'Order', 8);
T9 = taylor(f, x, 'Order', 9);
T10 = taylor(f, x, 'Order', 10);
fplot([f T4 T7 T8 T9 T10])
axis([-pi pi -4 8])

[Faisal Al-Wazir]

im not sure , im waitnig for more answers

Answer 2

[VBBV]

syms x
t=linspace(-pi,pi,100);  %  define  100 points 
fx=exp(t.^2/2)+exp(t).*cos(t);  % define function 
plot(t,fx,'linewidth',2); legend('f(x)')
hold on 
fx = exp(x.^2/2) + exp(x).*cos(x)  % define the function again with x, since fx is 1 x 100 double array

fx = 

t4=taylor(fx,x,'order',4);
t7=taylor(fx,x,'order',7);
t10=taylor(fx,x,'order',10);
fplot([t4 t7 t10],[-pi pi])
axis([-pi pi -5 50])
grid; xlabel('x');ylabel f(x); legend show

[VBBV]

define the function again with symbol x, since fx is 1 x 100 double array computed earlier