Let be an increasing function. If x1,...,xn in [a,b] are distinct, show that Where o(f, xi)...

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Let $f: a, b R$ be an increasing function. If x₁,...,x_n in [a,b] are distinct, show that o(f,)f(b) - f(a). i=1

Where o(f, x_i) is the oscillation of f at x_i.

f: a, b R
o(f,)f(b) - f(a). i=1

math Advanced-Math

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a, R be an increasing function. If x1,...,xn in [a,b] are distinct, show that Let o(f, )< f(b)- f(a) Where o(f, xi) is the os amd lim 8(9 e (-o) im xi-E, it E0 have Thus we +6 2 to) nto) n ) NO w C2-0) &CAto) 20 +0 Sinuilardy Cx2t0) a-0) <o -0) & (2t0 get and So So Now 2 Ca) (,- o) have So we Σ (,π) 6C)6Ca) Ce,x) (PaA ced Ms

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Let be an increasing function. If x1,...,xn in [a,b] are distinct, show that Where o(f, xi)...

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Let be an increasing function. If x1,...,xn in [a,b] are distinct, show that Where o(f, xi)...

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Let be an increasing function. If x1,...,xn in [a,b] are distinct, show that Where o(f, xi)...