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bigcat

  • 3 years ago

find lim \[x^{4}-x^{2}+x+3/x^{3+1}\] when x right arrow 1

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  1. UnkleRhaukus
    • 3 years ago
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    \[\lim\limits_{x\rightarrow1}\quad \frac{x^{4}-x^{2}+x+3}{x^{3+1}}\] is this your Q:

  2. bigcat
    • 3 years ago
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    yea, thanks! I don't why I can't get that on the initial post

  3. Mertsj
    • 3 years ago
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    Simply substitute 1 for x and evaluate

  4. bigcat
    • 3 years ago
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    I get 2, does that seem correct?

  5. Mertsj
    • 3 years ago
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    Review your work.

  6. Mertsj
    • 3 years ago
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    |dw:1349002965737:dw|

  7. bigcat
    • 3 years ago
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    Shoot, the original post left off that the Denominator was x^3 + 1, but that should answer my question though. Thanks!

  8. UnkleRhaukus
    • 3 years ago
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    \[\lim\limits_{x\rightarrow1}\quad \frac{x^{4}-x^{2}+x+3}{x^{3}+1}\]\[\qquad=\frac{1^{4}-1^{2}+1+3}{1^{3}+1}\]\[\qquad=\frac42\]\[\qquad=2\color{red}\checkmark\]

  9. bigcat
    • 3 years ago
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    Thank you very much. Perfect. I wish I could figure out how to use the Math Jax to post like that...

  10. UnkleRhaukus
    • 3 years ago
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    \[\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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