## Mathisnotfun 2 years ago Find the limit algebraically

1. Mathisnotfun

|dw:1348033674052:dw|

2. Jemurray3

is that $\lim_{h \rightarrow 0} \frac{\sqrt{h^2+4h+5}-\sqrt{5}}{h}$

3. Mathisnotfun

yep except the h -> 0 there's a negative sign on the 0 because it's a left sided function

4. Jemurray3

Multiply the top and bottom by $\sqrt{h^2+4h+5} + \sqrt{5}$

5. Mathisnotfun

ok and then just plug in 0 for h?

6. Jemurray3

well, see what happens first...

7. Mathisnotfun

ha cool got it. 2/√5