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14 November, 10:30

Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1]. explain.

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  1. 14 November, 13:21
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    With an absolute value somewhere in the formula, you can create a discontinuous function.

    how about f (x) = |x|/x

    It jumps from - 1 to + 1 at x=0, yet it can be integrated on [-1,1]. The surface is 2.
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