Question

Determine which of the following definite integral equals `lim_{n\to infty} \Sigma_{i=1}^n 1/nsqrt{i/n}`?

Answer 1

See below.

Explanation:

Making `x = i/n` and `d xi= 1/n`

`sum_(i=1)^n 1/n sqrt(i/n) = int_0^1 sqrtx d x`