3. Let E be a bounded subset of R such that E = U₁1 Ej. Prove that if the E, are of Lebesgue measure zero, then E is Lebesgue measurable and m(E) = 0.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3. Let E be a bounded subset of R such that E=UEj. Prove
that if the E, are of Lebesgue measure zero, then E is Lebesgue
measurable and m(E) = 0.
4. Let f [a, b] → R be integrable. Define F la hl→ R by
Transcribed Image Text:3. Let E be a bounded subset of R such that E=UEj. Prove that if the E, are of Lebesgue measure zero, then E is Lebesgue measurable and m(E) = 0. 4. Let f [a, b] → R be integrable. Define F la hl→ R by
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