(b) Let f: [a, b] → R be a continuous function which satisfy f(a) < 0 and f(b) > 0. Let W C[a, b] defined by W:= {r € (a,6) : f(2) < o}. (4) < o}. and let w := sup W. Prove that f(w) = 0. %3D

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Chapter2: Second-order Linear Odes
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(b) Let f : [a, b] →R be a continuous function which satisfy f(a) < 0 and f(b) > 0. Let
W C [a, b] defined by
W := {r € (a,b] : f(x) <0}.
and let w := sup W. Prove that f(w) = 0.
Transcribed Image Text:(b) Let f : [a, b] →R be a continuous function which satisfy f(a) < 0 and f(b) > 0. Let W C [a, b] defined by W := {r € (a,b] : f(x) <0}. and let w := sup W. Prove that f(w) = 0.
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