lim n→∞ r/1.3.5.7.9......(2r + 1) is equal to

Question

\(\lim\limits_{n \to \infty} \sum\limits_{r =1}^n \frac r{1.3.5.7.9.....(2r +1)}\) is equal to

(a) 1/3

(b) 3/2

(c) 1/2

(d) None of these

Answer 1

Correct option is (c) 1/2