Simple exercise that calculate the Taylor expansion of the exponential

function.

Input variables: degree N

vector of evaluation points, x

At each step plots the Taylor polynomial and compare with the real

function

function y=taylor_exp(N,x)

printf("Order of the expansion: d ", N)

size(x)

y=ones(size(x))

plot(x,y,"r-",x,exp(x),"b-")

legend("n=0,exp(x)")

for n=1:N

y+=(1/factorial(n))*(x.^n)

plot(x,y,"r-",x,exp(x),"b-")

xlabel("x")

ylabel("f(x)")

legend("approx","exp(x)")

pause

end

endfunction

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Simple exercise that calculate the Taylor expansion of the exponential

function.

Input variables: degree N

vector of evaluation points, x

At each step plots the Taylor polynomial and compare with the real

function

function y=taylor_exp(N,x)

printf("Order of the expansion:　d ", N)

size(x)

y=ones(size(x))

plot(x,y,"r-",x,exp(x),"b-")

legend("n=0,exp(x)")

for n=1:N

y+=(1/factorial(n))*(x.^n)

plot(x,y,"r-",x,exp(x),"b-")

xlabel("x")

ylabel("f(x)")

legend("approx","exp(x)")

pause

end

endfunction