How to find the approximation of the solution to an equation with an infinite series?

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Kiet 2025-4-26

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https://ww2.mathworks.cn/matlabcentral/answers/2176664-how-to-find-the-approximation-of-the-solution-to-an-equation-with-an-infinite-series

评论： Sam Chak 2025-4-29

Hi, I am very new to matlab and I am trying to solve an equation with an infinite serie. The equation looks like this:

The variable is De and the rest are all parameters (R is 25e-06, the function is equal to 0.4764) I would really appreciate it if someone can give me a hint about how to do this. (Even better if you can provide a code sample). Thank you very much.

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Torsten 2025-4-28

@Sam Chak

Yes, this holds for t -> Inf.

Sam Chak 2025-4-29

Hi @Torsten,

I was encouraging @Kiet to use symsum if he is unfamiliar with loops, as in some pure math programs, the professors do not teach the iterative control flow structures used in executing most mathematical expressions.

Anyhow, that solution only holds if t approaches 0 for

. Moreover, with the quadratic terms

and

in the numerator, and the denominator has a relatively small value, the exponential decay function probably approaches 0, depending on the true values of