cassieforlife5
  • cassieforlife5
Help me with limits question!!
Mathematics
jamiebookeater
  • jamiebookeater
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cassieforlife5
  • cassieforlife5
|dw:1444030458720:dw|
anonymous
  • anonymous
|dw:1444031242714:dw|
cassieforlife5
  • cassieforlife5
so you can cancel out the x^2-c^2 and you're left with 1/(x^2+c^2) is that the final answer?

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Jhannybean
  • Jhannybean
No,.
Jhannybean
  • Jhannybean
You haven't taken the limit yet :)
cassieforlife5
  • cassieforlife5
do I have to substitute in any number not 0 for c?
Jhannybean
  • Jhannybean
\[\large \lim_{\color{red}{x\rightarrow c}} \frac{1}{x^2+c^2}=~?\]
Jhannybean
  • Jhannybean
See the highlighted portion? That's what you're `replacing` x with.
Jhannybean
  • Jhannybean
rather than replacing let's say you're `substituting`. Replacing sounds horrible.
anonymous
  • anonymous
thats a continuous function, for c not equal to zero therefore lim x->c f(x) = f(c)
cassieforlife5
  • cassieforlife5
1/(2c^2) ?
Jhannybean
  • Jhannybean
\(\checkmark\)
cassieforlife5
  • cassieforlife5
Thank you so much to both of you guys!!

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