Exercise 4: (Hard) Give an example of a function f with domain [0, 1] with infinitely many points of discon- tinuity such that f is integrable from 0 to Hint: f can be discontinuous on the set {n-1, n e N}. Remark: There is no need to formally prove that f is integrable, a good explanation is fine.

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Exercise 4: (Hard) Give an example of a function f with domain [0, 1] with infinitely many points of discon-
tinuity such that f is integrable from 0 to
Hint: f can be discontinuous on the set {n-1, n e N}.
Remark: There is no need to formally prove that f is integrable, a good explanation is fine.
Transcribed Image Text:Exercise 4: (Hard) Give an example of a function f with domain [0, 1] with infinitely many points of discon- tinuity such that f is integrable from 0 to Hint: f can be discontinuous on the set {n-1, n e N}. Remark: There is no need to formally prove that f is integrable, a good explanation is fine.
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