# Can all limits questions be solved algebraically?

1. Jan 12, 2013

### lionely

$$\lim_{n\rightarrow 0} {\frac{√(x+4) - 2}{x}}$$

The answer is supposed to be 1/4. When I work it this way:

(√(x+4) - 2]/x )(√(x+4) + 2]/√(x+4) +2]

and then put in 0 I get 0..

2. Jan 12, 2013

### lionely

Oh sorry I A FLIPPING IDIOT!!!!!!!!!!!!!!!!!!! .............. I AM SO STUPID my gosh, all I had to do was divide it by x........... and I would 1 and 4 as the numerator and denominator respectively.

3. Jan 12, 2013

### haruspex

Bracketing is a bit off. I guess you mean (√(x+4) - 2]/x )(√(x+4) + 2)/(√(x+4) +2)