plotting libnez taylor series

hi there i have tried to plot libnez's taylor series as a line graph but it will not show up. correctly it only plots the same reslut value for all terms given. I want to plot 20 terms but am have difficultly doing so. Can anyone help me out?

the function is : pi= 4- 4/3+ 4/5- 4/7....

This is what I have so far thanks to Youssef KHMOU ...

value= input('how many values would you like:');

 result=zeros(20,1);

 signchange= 1;

 result(1)=4;

for k= 1:value

 term = signchange * 4/(2*k-1);

 result(k+1) =result(k)+ term;

 signchange = signchange * (-1) ;

 end

 plot(result)

the only problem is that I want it to plot somehow from terms 0:20

[AngelsaAtWar]

the series is 4-4/3+4/5-4/7.....

[Youssef Khmou]

write the index form of the series : per example :

    N
    - 
    \     n*(n+1)
    /     --------
    -     (n+3)* n
    n=0

Answer 1

[Youssef Khmou]

esult=0.0 ;

signchange= 1;

for k = 1:1:value

term = signchange * 4/(2*k-1);

result = (result + term)

signchange = signchange * -1 ;

x=1:1: value;

y=result;

plot(x,y,'ok'); hold on end

hold off

[AngelsaAtWar]

am sorry , but this didnt work It gave me a garaph where there was multiple dots showing on each term when I one need one Thanks for trying though

[Youssef Khmou]

yes, but you have to specify your question, Taylor LEIBNIZ series is general form, you want apply the formula on what function : per example :

sin(x) = Sum (n=0, infinity) (-1)^n * (x^2n+1) / (2n+1)!

, take a look at the answer below .

Answer 2

[Youssef Khmou]

AngelsaAtWar :

You have to re-post the question with the function you want use and give a general index forumla :

here is you code with 400 iterations :

 value=400;
 result=zeros(40,1);

 signchange= 1;

 result(1)=4;
 for k = 1:value-1

 term = signchange * 4/(2*k-1);

 result(k+1) =result(k)+ term;

 signchange = signchange * (-1) ;

 end

 plot(result)

[AngelsaAtWar]

I edited my question above like you asked me to

[Youssef Khmou]

ok,

what about the last code, is that what you want ( damped sinusoidal function like) ?

if you only want to plot 20, then give 20 as input to value . Or can you give 100000 , but plot only 20 or truncate other elements starting from 21 to end , you have may options,

 plot(result(1:20)) % if you gave more than 20 to values or :

 result(21:end)=[], plot(result)