EENG3190 MATLAB Assignment
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EENG3190 MATLAB Assignment
Consider the truncated Maclaurin expansion:
1-
≈ ∑ 
= 
+ x2 + 
3 + ⋯ + 
=1
(a) Write a MATLAB function func(x,N)that returns the Maclaurin expansion using the first N
terms. Use the function to plot, func(x,2), func(x,4)and func(x,8)on the same axes, together with the true value, x./(1-x), for - 0.5 < x < 0.5. Ensure the axes, title and curves are labelled.
(b) The difference between the true value and the truncated Maclaurin series is
∆ = 
− ∑ 
=1
If x = 0.5 and N =1, 2, … , 10 then the difference, 
, as a function of N, could be written in MATLAB script as
x = 0.5; %set value for x
for N=1:10
delta (N) = x./(1-x)-func(x,N); %Calculate difference
end;
Using the above MATLAB script, or otherwise, plot the difference, delta, as a function of N and hence determine the value of N where the error in the Maclaurin series is less than 0.1, at
x = 0.5. Ensure the axes, title and curves are labelled.
2022-04-07