theorem :- if points of discontinuity has finite number of limit point then it Riemann integral

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Theorem || Riemann Integral || Finite number of points of discontinuityTheorem || Riemann Integral || Finite number of points of discontinuity
A bounded function with finitely many points of discontinuity is Riemann stieltjes integrable | Msc.A bounded function with finitely many points of discontinuity is Riemann stieltjes integrable | Msc.
Bounded function is Riemann integrable if set of points of discontinuity has finite limit points BscBounded function is Riemann integrable if set of points of discontinuity has finite limit points Bsc
Points of if discontinuity and R S integralPoints of if discontinuity and R S integral
theorem :- a bounded function with finite number of point of discontinuity is Riemann integraltheorem :- a bounded function with finite number of point of discontinuity is Riemann integral
Reimann Integrability if set of its points of discontinuity has only a finite no. of limit points.Reimann Integrability if set of its points of discontinuity has only a finite no. of limit points.
Examples of set of points of discontinuity of a bounded function has finite number of limit pointsExamples of set of points of discontinuity of a bounded function has finite number of limit points
A bounded function having a finite number of points of discontinuity on [a,b] is integral on [a, b].A bounded function having a finite number of points of discontinuity on [a,b] is integral on [a, b].