- #1
pyrosilver
- 39
- 0
Homework Statement
lim
[tex]_{}h\rightarrow0[/tex] ([tex]\sqrt{a+h}[/tex] - [tex]\sqrt{a}[/tex]) / h
3. ok so i multiplied by [tex]\sqrt{a+h}[/tex] + [tex]\sqrt{a}[/tex]. The top simplified to a+ h -a, aka h. the bottom is h([tex]\sqrt{a+h}[/tex] + [tex]\sqrt{a}[/tex]).
The h cancels, so I am left with
1 / ([tex]\sqrt{a+h}[/tex] + [tex]\sqrt{a}[/tex]
how do i simplify this further?
thanks!