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22. if f(x+2y÷3)= f(x)+2f(y)÷3 ,x,y R and f(0) exists and is finite, show that f(x) is continuous on the entire number line

Answer» 22. if f(x+2y÷3)= f(x)+2f(y)÷3 ,x,y R and f(0) exists and is finite, show that f(x) is continuous on the entire number line


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