Question

How do you find the limit of (√x2−x)−(√x2−x) as x approaches infinity?

Answer 1

You may have a mistake in your question.

Explanation:

`lim_(xrarroo)(sqrt(x^2)-x) - (sqrt(x^2) - x)`

`= lim_(xrarroo)(x - x) - (x - x)`

`= lim_(xrarroo)0 - 0`

`= lim_(xrarroo)0`

`= 0`