Question

Evaluate the limit. As h-->0, lim (a+h)^2-a^2/h

Answer 1

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

Answer 2

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

Answer 3

2ah+h^2

Answer 4

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

Answer 5

(a+h-a)(a+h+a)/h
h(h+2a)/h
h + 2a

evaluate the limit 0 + 2a = 2a

Answer 6

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

Answer 7

Yes, and that's the answer.

Answer 8

Oh...okay. Wow, thanks!!!