Question

What is `lim x->1` of `(sqrt x -x )/(x-1)`?

Answer 1

Using `"L'H"hato"pital's Rule"` ...

Explanation:

Take the derivative of numerator and denominator ...

`[1/(2sqrtx)-1]/1`

Finally, insert `x=1`

`(1/2-1)/1=-1/2`

So, the `lim x rarr 1` is `-1/2`

Hope that helped