## anonymous 4 years ago Evaluate the limit. As h-->0, lim (a+h)^2-a^2/h

1. anonymous

$\lim_{h \rightarrow 0} (a+h)^{2}-a ^{2}\div h$

2. JamesJ

First of all, what does $(a+h)^2 - a^2$ simplify to?

3. anonymous

2ah+h^2

4. JamesJ

Hence $\frac{(a+h)^2 - a^2}{h}$ equals what?

5. anonymous

(a+h-a)(a+h+a)/h h(h+2a)/h h + 2a evaluate the limit 0 + 2a = 2a

6. anonymous

As far as I can get is 2a...because you'd get 2a+h and the h is just a 0....

7. JamesJ