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Find values of a and b such that the given limit exists

Find values for the real constants a and b so that the following limit equation holds:

    \[ \lim_{p \to +\infty} \int_{-p}^p \frac{x^3 + ax^2 + bx}{x^2 + x + 1} \, dx = 1. \]


Incomplete.

One comment

  1. Anonymous says:

    If we do a=1+A and b=1+B yields: x + (Ax^2 + Bx)/(x^2 + x + 1). But x is odd and so we consider only (Ax^2 + Bx)/(x^2 + x + 1).

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