anonymous
  • anonymous
Find the limit algebraically
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
is that \[ \lim_{h \rightarrow 0} \frac{\sqrt{h^2+4h+5}-\sqrt{5}}{h}\]
anonymous
  • anonymous
yep except the h -> 0 there's a negative sign on the 0 because it's a left sided function

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anonymous
  • anonymous
Multiply the top and bottom by \[ \sqrt{h^2+4h+5} + \sqrt{5} \]
anonymous
  • anonymous
ok and then just plug in 0 for h?
anonymous
  • anonymous
well, see what happens first...
anonymous
  • anonymous
ha cool got it. 2/√5

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