In R¹, we had a theorem saying that if a function f [a, b] → R is continuous except at : finitely many points, then f is integrable on [a, b]. Do we have something similar in R"? : To be more precise, let f I →→R be a function defined on a generalized rectangle I [a₁, b₁] × x [an, bn] in Rn that is continuous on I except for only finitely many points _z = (x₁,...x), S = 1,..., m. Is f always integrable? Prove it or find a counter example. ...

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A: See the solution below.

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A: I have proved limiting value is equal to functional value

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