Consider following statements with respect to existence of fourier series of function f(x)
i. f(x) is a periodic, single valued & finite function
ii. f(x) must be continuous in any one period
iii. f(x) has finite number of maxima & minima in one time period
Which of the above statements are correct?

ii & iii

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i & iii

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i & ii

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i, ii & iii

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Solution

The correct option is B i & iii
Fourier series of f(x) may exists even if f(x) has finite number of discontinuties in one time period.

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