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If f(x)=x+int(0)^(1)x^(2).zf(z)dz+int(0)...

If `f(x)=x+int_(0)^(1)x^(2).zf(z)dz+int_(0)^(1)xz^(2)f(z)dz` then we have `lim_(xto oo) (f(x))/((ax^(2)+7x))=20/119` then a `=`?

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The correct Answer is:
4
`:' f(x)=x+lamdax^(2)+mu.x`
where `lamda=int_(0)^(1)zf(z)dx` & `M=int_(0)^(1) z^(2)f(z)dz`
then
`lamda=80/119` & `mu=61/119`
`:.f(x)=20/119 (4x^(2)+9x)`
`implieslim_(xto oo) (f(x))/(ax^(2)+7x)=(0/119xx4)/a=20/119`
`implies a=4`
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