How to find value of an infinite series using for-end loops

Question

Vinny 2016-3-28

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https://ww2.mathworks.cn/matlabcentral/answers/275723-how-to-find-value-of-an-infinite-series-using-for-end-loops

回答： Walter Roberson 2016-3-28

 Write a program to determine values from the following infinite series.
 f(x)=sqrt(x)/42+1/2x+1/3x^2+1/4x^3+1/5x^4+1/6x^5......
 There are two inputs, the value of (x), and the number of terms to use in the series (n),
 and there is one output, the value of the function.
 Using x=0.932 and n=7 as your inputs, find the value of this function.

I've tried working the problem but I can only get the value for the first 2 values. Here is what I have so far:

x=0.932
n=7
exp1=sqrt(x)/42
exp2=x^(n-1)/n
for i=exp1:1:n
    op=exp1+exp2
end

Any help is appreciated with this problem. Thank you.

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Answer 1

Walter Roberson 2016-3-28

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在 MATLAB Online 中打开

Correcting only one of the problems with your code:

exp2 = @(x,n) x^(n-1)/n;
for i = exp1:1:n
  op = exp1 + exp2(x,n)
end

That is, you wrote exp2 as if you expected to be giving a formula, so show here how to really make it a formula.

I can see at least three remaining bugs in the code, so do not expect the above to work directly: it is an illustration of a technique and you now need to fix your code, possibly making use of this technique.