Solving Confusing Limits Homework

[BloodyFrozen]

Homework Statement

1. lim_h->0 (sqrt(a+h)-sqrt(a))/h
2. lim_x->1 (1-sqrt(x))/(1-x)

Homework Equations

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The Attempt at a Solution

I tried conjugate, etc., but couldn't solve it without L'H's Rule.

 

[vela]

Using the conjugate will work. What did you get when you tried that?

 

[BloodyFrozen]

Thanks I got 1/(2)for one and 1/2 for number 2

 

[Char. Limit]

For the second one, try factoring the numerator like so:

$$1 - x =\left(1 - \sqrt{x}\right)\left(1 + \sqrt{x}\right)$$

The solution should then become obvious.

EDIT: And for the first one, multiplying by the conjugate of the numerator is what you need to do.

 

[BloodyFrozen]

Thanks guys, got them.

Ignore my comment above this.