Maclaurin Series cos x (MATLAB) can somebody find my error

[maxiann143]

Maclaurin Series cos x (MATLAB)... can somebody please find my error

a. Consider the MacLauren series for cos x.
Find TN(x) for N = 2, 4, 6, 8. For each of these, graph cos(x) and TN(x) on the same plot for x (-pi/4,pi/4)



y=cos(x);
T2=zeros(1,length(x));
for i=1:length(x)
T2(i)=sum(bn(i,1:3));
end
plot(x,y,x,T2)
title('T2 vs cos x')
>> x=(-pi/4):(pi/400):(pi/4);
bn=zeros(length(x),10);
for i=1:10
for j=1:length(x)
n=i-1;
bn(j,i)=((-1)^n*x(j)^(2*n))/(factorial(2*n));
end
end

y=cos(x);
T2=zeros(1,length(x));
for i=1:length(x)
T2(i)=sum(bn(j,1:3));
end
plot(x,y,x,T2)
title('T2 vs cos x')

 

[lippyka]

y=cos(x);T4=zeros(1,length(x));for i=1:length(x) T4(i)=sum(bn(j,1:5));endplot(x,y,x,T4)title('T4 vs cos x')y=cos(x);T6=zeros(1,length(x));for i=1:length(x) T6(i)=sum(bn(j,1:7));endplot(x,y,x,T6)title('T6 vs cos x')y=cos(x);T8=zeros(1,length(x));for i=1:length(x) T8(i)=sum(bn(j,1:9));endplot(x,y,x,T8)title('T8 vs cos x')Error: Index exceeds matrix dimensions.Solution: The error is caused by the incorrect indexing in the for loops. The variable i should be used instead of j in the for loop where the summation is calculated. The corrected code is shown below.x=(-pi/4):(pi/400):(pi/4);bn=zeros(length(x),10);for i=1:10 for j=1:length(x) n=i-1; bn(j,i)=((-1)^n*x(j)^(2*n))/(factorial(2*n)); endendy=cos(x);T2=zeros(1,length(x));for i=1:length(x) T2(i)=sum(bn(i,1:3));endplot(x,y,x,T2)title('T2 vs cos x')y=cos(x);T4=zeros(1,length(