Exercise 4.2 Let m be Lebesgue measure and A a Lebesgue mea- surable subset of R with m(A) < ∞. Let ɛ > 0. Show there exist G open and F closed such that FC AC G and m(G – F) < ɛ.
Exercise 4.2 Let m be Lebesgue measure and A a Lebesgue mea- surable subset of R with m(A) < ∞. Let ɛ > 0. Show there exist G open and F closed such that FC AC G and m(G – F) < ɛ.
Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Transcribed Image Text:Exercise 4.2 Let m be Lebesgue measure and A a Lebesgue mea-
surable subset of R with m(A) < ∞. Let ɛ > 0. Show there exist
and F closed such that F CACG and m(G – F) < ɛ.
open
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Given that m is a Lebesgue measure and A be a measurable set with m(A) < ∞.
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