anonymous
  • anonymous
find lim \[x^{4}-x^{2}+x+3/x^{3+1}\] when x right arrow 1
Mathematics
chestercat
  • chestercat
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UnkleRhaukus
  • UnkleRhaukus
\[\lim\limits_{x\rightarrow1}\quad \frac{x^{4}-x^{2}+x+3}{x^{3+1}}\] is this your Q:
anonymous
  • anonymous
yea, thanks! I don't why I can't get that on the initial post
Mertsj
  • Mertsj
Simply substitute 1 for x and evaluate

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anonymous
  • anonymous
I get 2, does that seem correct?
Mertsj
  • Mertsj
Review your work.
Mertsj
  • Mertsj
|dw:1349002965737:dw|
anonymous
  • anonymous
Shoot, the original post left off that the Denominator was x^3 + 1, but that should answer my question though. Thanks!
UnkleRhaukus
  • UnkleRhaukus
\[\lim\limits_{x\rightarrow1}\quad \frac{x^{4}-x^{2}+x+3}{x^{3}+1}\]\[\qquad=\frac{1^{4}-1^{2}+1+3}{1^{3}+1}\]\[\qquad=\frac42\]\[\qquad=2\color{red}\checkmark\]
anonymous
  • anonymous
Thank you very much. Perfect. I wish I could figure out how to use the Math Jax to post like that...
UnkleRhaukus
  • UnkleRhaukus
\[\text{\[\lim\limits_{x\rightarrow1}\quad \frac{x^{4}-x^{2}+x+3}{x^{3}+1}\]}\]\[\downarrow\]\[\lim\limits_{x\rightarrow1}\quad \frac{x^{4}-x^{2}+x+3}{x^{3}+1}\]

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