anonymous
  • anonymous
Evaluate the limit. As h-->0, lim (a+h)^2-a^2/h
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[\lim_{h \rightarrow 0} (a+h)^{2}-a ^{2}\div h\]
JamesJ
  • JamesJ
First of all, what does \[ (a+h)^2 - a^2 \] simplify to?
anonymous
  • anonymous
2ah+h^2

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JamesJ
  • JamesJ
Hence \[ \frac{(a+h)^2 - a^2}{h} \] equals what?
anonymous
  • anonymous
(a+h-a)(a+h+a)/h h(h+2a)/h h + 2a evaluate the limit 0 + 2a = 2a
anonymous
  • anonymous
As far as I can get is 2a...because you'd get 2a+h and the h is just a 0....
JamesJ
  • JamesJ
Yes, and that's the answer.
anonymous
  • anonymous
Oh...okay. Wow, thanks!!!

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