The conversation between human and AI assistant.
What does √1+√2+√3+√4+…+√n equal ?
Can you give me an example of this approximation?
Sure. For example, if we take n = 10, the sum of the square roots is approximately equal to 30.403, while the integral of the square root function from 1 to 10 is approximately equal to 30.044. This is a fairly good approximation, considering that we are summing an infinite series.