Lesson 1 · Riemann Sums and the Definite Integral · Calculus 1B

Pretest

Have a go before we teach it — wrong is fine, and it helps.

The expression $\sum_{k=1}^{n} 3/(n \cdot (1 + 3k/n))$ is a Riemann sum for a function on an interval. Decide which integral equals the limit of this expression as $n$ tends to infinity.