1. ## limits

When x goes to 0 find
limit of cosx+square root(1-cos(x/2))
--------------------------
sinx

I used L'Hospital. But the equation became a mess. There must be a trick.

2. ## Re: limits

If the expression is ...

$\dfrac{\cos{x}+\sqrt{1-\cos(x/2)}}{\sin{x}}$

direct substitution yields 1/0, therefore the limit as $x \to 0$ does not exist

Many Thanks.