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Consider two differentiable functions f(...

Consider two differentiable functions `f(x),g(x)` satisfying
`6intf(x)g(x)dx=x^(6)+3x^(4)+3x^(2)+c and 2 int(g(x)dx)/(f(x))=x^(2)+c, " where " f(x) gt 0 AA x in R.`
`underset(x to 0)(lim)(log(f(x)))/(g(x))=`

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