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Continuous and differentiable function 
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#1
Feb1312, 06:05 PM

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1. The problem statement, all variables and given/known data
function f:R>R can be written as a sum f=f1+f2 where f1 is even and f2 is odd。show that if f is continuous then f1 and f2 may be chosen continuous, and if f is differentiable then f1 and f2 can be chosen differentiable 2. The attempt at a solution i have try some examples, but i still cannot get the idea from that 


#2
Feb1312, 06:10 PM

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#3
Feb1312, 06:10 PM

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Given function f, let [itex]f_e(x)= (f(x)+ f(x))/2[/itex] and [itex]f_o(x)= (f(x) f(x))/2[/itex].



#4
Feb1312, 06:15 PM

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Continuous and differentiable function



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Feb1312, 06:20 PM

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Feb1312, 06:36 PM

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Feb1312, 07:32 PM

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