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Before I post my question, let me admit that my foundation on mathematics is poor. I am trying to work on it, specifically on the application part.

When I came through the following image, I was stuck to understand why I will need one like Taylor's series in a simple case like "F+ΔF = F (x* + Δx)"?

Why don't we live with F (x* + Δx) instead of expanding it as a series? What exactly is the benefit?

Thanks.

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# I Mathematical series in physics - Why and when do we need them?

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