Answer to Question #103843 in Real Analysis for BIVEK SAH

Question #103843
The function f defined by f(x)= [x −1 ]where [x] is the greatest integer
function is integrable on the interval [2,4].


True or false
1
Expert's answer
2020-03-02T09:55:34-0500

It is true. "f" is continuous in "[2,4]" almost everywhere (it is not continuous in "\\{3,4\\}", and "\\{3,4\\}" no more than countable set). By the Lebesgue's criterion for Riemann integrability "f" is integrable on "[2,4]".

Answer: true


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