7. Let x E [0,1) and an, ,Bn be defined as in Theorem 7.62. (a) If f

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7. Let x E [0,1) and an, ,Bn be defined as in Theorem 7.62.

(a) If f : [0,1) ---- Rand "f E R, prove that f(,Bn) - f(an) _ "f = (f(,Bn) - f(x) _ "f) ( ,Bn - X )

~-~ ~-x ~-~

+ (f (x) - f (an) _ "f) ( x - an ) .

x - an ,Bn - an

(b) If f is differentiable at x, prove that (26) holds.

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An Introduction To Analysis

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7. Let x E [0,1) and an, ,Bn be defined as in Theorem 7.62. (a) If f

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An Introduction To Analysis

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