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Question

If f:RR satisfies |f(x)f(y)||xy|3 and f(4)=192 then f(7) is equal to

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Solution

|f(x)f(y)||xy|3|f(x)f(y)||xy||xy|2limxy|f(x)f(y)||xy|limxy|xy|2f(x)0f(x)=0thatmeansitsaconstantfunctionsof(4)=f(7)f(7)=192

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