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Why fourier series is expressed as a infinite series?

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Updated: 10/16/2024

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Q: Why fourier series is expressed as a infinite series?

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In Mathematics what is meant by the Fourier series?

The Fourier series is a specific type of infinite mathematical series involving trigonometric functions that are used in applied mathematics. It makes use of the relationships of the sine and cosine functions.

Is the infinite sum of continuous function continuous?

An infinite sum of continuous functions does not have to be continuous. For example, you should be able to construct a Fourier series that converges to a discontinuous function.

What are the limitation of fourier series?

what are the limitations of forier series over fourier transform

Can a discontinuous function can be developed in the Fourier series?

Yes. For example: A square wave has a Fourier series.

What is physical significance of Fourier series?

Fourier series is series which help us to solve certain physical equations effectively

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