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Omni-MATH / Let g:[0,1]→R be a continuous function and let f_(n):[0,1]→R be a sequence of functions defined by f₀(x)=g(x) and f_(n+1)(x)=(1)/(x)∫₀^(x)f_(n)(t)dt. Determine lim_(n→∞)f_(n)(x) fo… · Discussion

Discussing Let g:[0,1]→R be a continuous function and let f_(n):[0,1]→R be a sequence of functions defined by f₀(x)=g(x) and f_(n+1)(x)=(1)/(x)∫₀^(x)f_(n)(t)dt. Determine lim_(n→∞)f_(n)(x) fo… · Omni-MATH

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