How can I make my function accept vectors instead of scalars(I'm Really New to Matlab)

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Japoe25
Japoe25 2015-4-7
评论： Julia 2015-4-7
I'm trying to make a taylor series expression for e^x = sum(x^n/n!) for n=0:50 and for x^n/n!>0.01 So far I have this:
function [ xs ] = myExpfuntion(x)
x=input('Enter x: ');
xl=zeros(51,1); %preallocation of the storage
for n= 1:50
if ((x^n)/factorial(n))>0.01
xl(n+1) = ((x^n)/factorial(n)); %save every iteration result
end
end
xs=1+sum(xl) ; %calculate the sum of the iteration results
end
I want to delete the line "x=input('Enter x: ');" and just place my value for x in the function i.e. myExpfunction(x) and also make the function work with x being a row vector i.e x=[1 2 3]
My current function wont allow me to do so and I don't get what I'm doing wrong. Please help!

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Julia
Julia 2015-4-7
Hi,
I modified you code so that vectors can be used as input.
However, I am not sure, if I did it in the right way. It should help you though to get what you want:
function [ xs ] = myExpfuntion(x)
xs=zeros(1,length(x));
xl=zeros(51,length(x)); %preallocation of the storage
for n= 1:50
if ((x.^n)/factorial(n))>0.01
xl(n+1,:) = ((x.^n)/factorial(n)); %save every iteration result
end
end
for i = 1:length(x)
xs(i)=1+sum(xl(:,i)) ; %calculate the sum of the iteration results
end
end
This code results in:
>> xs=myExpfuntion([1,2,3,4])
xs =
2.7083 7.0000 16.3750 34.3333
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Japoe25
Japoe25 2015-4-7
Hello again Julia,
If it helps, I've had a look at the iteration results and saw that the iterations stop when they reach the length of x instead of at >0.01
xl =
0 0 0 0
1.0000 2.0000 3.0000 4.0000
0.5000 2.0000 4.5000 8.0000
0.1667 1.3333 4.5000 10.6667
0.0417 0.6667 3.3750 10.6667
Julia
Julia 2015-4-7
Hello Japoe,
1/(5!) is smaller than 0.01. So for n greater than 4 the if statement is never true again. Perhaps you have to modify the if condition.

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