The absolute term in as approaches to infinity is :

MATHEMATICS · Single correct · AoPS · Mathematics · Polynomials · Polynomials

Problem

The absolute term in

P(x) = \sum_{r=1}^{n} \left( x - \frac{1}{r} \right) \left( x - \frac{1}{r+1} \right) \left( x - \frac{1}{r+2} \right)

n

approaches to infinity is : (a)

\frac{1}{2}

(b)

\frac{-1}{2}

(c)

\frac{1}{4}

(d)

\frac{-1}{4}