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1-Given-E-C-0-1-R-are-mapping-set-0-1-R-a-Show-that-E-is-vector-space-b-For-f-E-let-f-1-0-1-f-x-dx-Show-that-E-1-are-normed-space-Helpe-me-please-

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Question Number 120524 by SOMEDAVONG last updated on 01/Nov/20
1/.Given E=C([0,1],R) are mapping set [0,1]→R. (a). Show that E is vector space. (b).For f∈E ,let ∣∣f∣∣_1 =∫_0 ^1 ∣f(x)∣dx . Show that (E,∣∣.∣∣_1 ) are normed space. (Helpe me please)
1/.GivenE=C([0,1],R)aremappingset[0,1]→R.(a).ShowthatEisvectorspace.(b).Forf∈E,let∣∣f∣∣1=∫01∣f(x)∣dx.Showthat(E,∣∣.∣∣1)arenormedspace.(Helpemeplease)

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