Question

The value of \(\lim_{n \to \infty} \left\{\frac{1}{na} + \frac{1}{na+1} + \frac{1}{na+2} + \ldots + \frac{1}{nb}\right\}\) is

• A. \(\log(ab)\)
• B. \(\log(a/b)\)
• C. \(\log(b/a)\)
• D. \(\log(a+b)\)

Hint:

Recognize as a Riemann sum: \(\lim_{n \to \infty} \frac{1}{n} \sum f(k/n) = \int f(x)dx\).

Answer 1

The Correct Option is C