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If f(x)=x^(3)+x^(2)f'(1)+xf''(2)+xf''(2)...

If `f(x)=x^(3)+x^(2)f'(1)+xf''(2)+xf''(2)+f'''(3)` for all `x"inR.` then find `f(x)` independent of `f'(1),f''(2)andf'''(3).`

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