The absolute term in the quadratic expression ∑k=1n(x-(1/3 k+1))(x-(1/3 k-2)) text as n arrow ∞ text is

Question

The absolute term in the quadratic expression ∑k=1n(x-(1/3 k+1))(x-(1/3 k-2)) text as n arrow ∞ text is  (A) 1 (B) (1/3) (C) (2/3) (D) zero

Tardigrade Admin · Accepted Answer

f (0)+ f (-1)= c + c -5=2 c -5 Now 2 c is always even so 2 c -5 is odd. may or not be divisible by 3

Q. The absolute term in the quadratic expression
$\sum_{k = 1}^{n} (x - \frac{1}{3 k + 1}) (x - \frac{1}{3 k - 2}) as n \to \infty is$