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Algebra Level pending

Let \(f\) be a continuous function \(f:R\rightarrow R\) , that satisfies the following conditions for every \(x,y\in R\):

  • \(f\left( x+y \right) =f\left( x \right) +f\left( y \right) \)
  • \(f\left( 1 \right) ={ 10 }^{ 7 }\)

Find the value of \(f\left( e \right) \) up to 2 decimal places.

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