isi-entrance 2010 Q17

isi-entrance · India · solved Indefinite & Definite Integrals Definite Integral as a Limit of Riemann Sums

The value of $\lim_{n \to \infty} \sum_{r} \frac{6n}{9n^{2} - r^{2}}$ is
(a) 0
(b) $\log(3/2)$
(c) $\log(2/3)$
(d) $\log(2)$

(d) $\log(2)$

The value of $\lim_{n \to \infty} \sum_{r} \frac{6n}{9n^{2} - r^{2}}$ is\\
(a) 0\\
(b) $\log(3/2)$\\
(c) $\log(2/3)$\\
(d) $\log(2)$